Trigonometry Word Problem, Finding The Height of a Building, Example 1

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Trigonometry Word Problem, Finding The Height of a Building, Example 1. In this video, I use a bit of trigonometry to find the height of a building.

Пікірлер: 160

  • @TheEmilyxx99
    @TheEmilyxx999 жыл бұрын

    If this one problem takes 7 minutes then I'm gonna be doing this worksheet for a year

  • @mattm4540

    @mattm4540

    8 жыл бұрын

    One month until ur worksheet

  • @maddiethomas9061

    @maddiethomas9061

    7 жыл бұрын

    Phew! You finished it!

  • @POPPY-it7ww

    @POPPY-it7ww

    4 жыл бұрын

    He's breaking it down a lot more. It wouldn't take that long

  • @Hasteonconsole

    @Hasteonconsole

    3 жыл бұрын

    Actually, if u do it skipping a few steps and without the explanation you will do it in an hour. Sorry if it was meant as a joke

  • @experiencepoints5490

    @experiencepoints5490

    3 жыл бұрын

    Well its been 5 years

  • @patrickjmt
    @patrickjmt13 жыл бұрын

    @Schazaa i agree, law of sines is easier. but i am trying to make a trig playlist, and i have not covered law of sines yet. the point is, you can do it in a 'more basic' way : )

  • @emon3851

    @emon3851

    Жыл бұрын

    I hate ur vids stop helping people for no reason

  • @HolySoliDeoGloria
    @HolySoliDeoGloria Жыл бұрын

    Just use tangents and algebra to get the general expression h = (distance between the points * tan a * tan b) / (tan a - tan b), where a and b are the angles. To use and learn trig properly, you shouldn't be getting the numerical results until the final calculation. (The law of sines also makes for a bit of a quicker way through the algebra.)

  • @mohamedzayaan2480

    @mohamedzayaan2480

    Жыл бұрын

    Thanks mann

  • @freeloaderuser6793

    @freeloaderuser6793

    10 ай бұрын

    could you elaborate further? im trying to understand but cant seem to get it

  • @HolySoliDeoGloria

    @HolySoliDeoGloria

    10 ай бұрын

    @@freeloaderuser6793Let the distance (40) be d and let the distance from the base to the intermediate point be x. Let the smaller angle (15 degrees) be a and let the larger angle (25 degrees) be b. You can follow the first steps in the video to get x = h / tan b. tan a = h/(d + x). Put the first expression for x into the 2nd equation to get tan a = h / (d + (h / tan b)). Multiply the right side by tan b / tan b to get tan a = h tan b / (d tan b + h). Multiply both sides by (d tan b + h) to get d tan b tan a + h tan a = h tan b. Group the h terms onto the same side, then divide both sides by (tan b - tan a) to get the general expression that I wrote above.

  • @alexandromaldonado2182
    @alexandromaldonado218211 жыл бұрын

    thanks so much man, it really helped me. Even when I did not know the value of the base of the triangle, I only new that the second base was x-250ft. Thanks!!!

  • @NintendoGamesPro
    @NintendoGamesPro13 жыл бұрын

    I'm in school and have to learn this, but my teacher is horrible at explanations. You really saved me here, thank you!

  • @Narcissistic.nAz_i

    @Narcissistic.nAz_i

    Жыл бұрын

    Remember bro, 11 yrs ago, you were in school, is everything nice today in your life, is their any serious problem? How is future you

  • @QuestClaimer

    @QuestClaimer

    2 ай бұрын

    ​@Stoic62075 it's a year later how are you doing?

  • @xyreezjayjungco2878
    @xyreezjayjungco2878 Жыл бұрын

    thank you so much .. I was in the verge of crying because of my homework but thanks to you I got to solve it on my own thank you so much

  • @gustavoskater61
    @gustavoskater614 жыл бұрын

    I like this longer version because you get more points when showing more work where I'm from thanks

  • @livengoodjames7406
    @livengoodjames74062 жыл бұрын

    The way you did this was bewildering. It's much easier and efficient to figure out the angles of the left triangle, use the law of Sines to determine the hypotenuse, then finally use sine(15)=height/ hypotenuse as your final equation. I'm guessing that you also get a more accurate answer that way. I got 25.20m as my final answer.

  • @davemagaldadze
    @davemagaldadze13 жыл бұрын

    You've been helping me in maths for last two years)) thank you so much Patrick: :)

  • @HomeScienceOnline

    @HomeScienceOnline

    Жыл бұрын

    Do you still take help from him dude 13 years💥💥🥺 that's long

  • @williamlakra6724
    @williamlakra67246 жыл бұрын

    why did u divide there .425 i did not get

  • @nathaniellingad5181

    @nathaniellingad5181

    3 ай бұрын

    .575h - 1.0h = .425

  • @matts8791
    @matts87912 жыл бұрын

    Most helpful vid on the topic right here. My class won't teach this variant of the problem yet tests it. Go figure. Thanks internet man :)

  • @harrisonmosey5235
    @harrisonmosey52355 жыл бұрын

    thankyou so much. this helps so much, thankyou

  • @amjPeace
    @amjPeace13 жыл бұрын

    Call me a math nerd, but I love this stuff! Thanks for sharing!

  • @ulasruzgar2075
    @ulasruzgar20754 жыл бұрын

    If your from C&I college and Mustafa gave a similar question to this, props to you

  • @Hasteonconsole
    @Hasteonconsole3 жыл бұрын

    Helped a lot thx

  • @Troynjk
    @Troynjk13 жыл бұрын

    thank you, more word problems.

  • @Ferdiepie.
    @Ferdiepie.4 жыл бұрын

    Thank you so much bro 💕

  • @randylinn9382
    @randylinn93826 жыл бұрын

    Hello, is there a way to contact you, to ask a question? I have 5 people in different locations take a picture of an item with a phone app. Problem is, the math does not work out even though they all took a pic of the same item. I have an idea it has to do with elevation of each person. now if I know the elevation of each person, how do I add that to my equation? Thanks for your time

  • @jojochacon6076
    @jojochacon60765 жыл бұрын

    Thank you.

  • @HalkyBTun
    @HalkyBTun2 жыл бұрын

    thankyou so much, this video has helped me to complete my assignments.

  • @patrickjmt

    @patrickjmt

    2 жыл бұрын

    Glad it helped!

  • @GitFiddler13601
    @GitFiddler1360112 жыл бұрын

    thank you!

  • @abilash8157
    @abilash81576 жыл бұрын

    This is very useful Tnq bro

  • @lamusica8613
    @lamusica86133 жыл бұрын

    Thank you 💖

  • @RuminatingKiwi927
    @RuminatingKiwi9273 жыл бұрын

    thanks a lot man!

  • @moth36
    @moth363 жыл бұрын

    You could use plane geometry instead of using long trigonometry with lot of computations

  • @esthermalowa1377
    @esthermalowa13773 жыл бұрын

    Thanks so much

  • @agnesnduati6195
    @agnesnduati61953 жыл бұрын

    Thanks alot

  • @phredomlight6609
    @phredomlight660910 жыл бұрын

    You can use the law of sines a total of 2 times to solve this problem much faster.

  • @yeonlakhaeme5540

    @yeonlakhaeme5540

    6 жыл бұрын

    phredom light but my teacher is too picky that he doesn't want us to be using law of sines -.-

  • @Alanamastreete
    @Alanamastreete9 жыл бұрын

    more word problems please my lil left handed cinnamon bun!! xoxo

  • @experiencepoints5490

    @experiencepoints5490

    3 жыл бұрын

    What the ?

  • @richardalvarado-ik9br
    @richardalvarado-ik9br4 жыл бұрын

    Can the base side length be any length? What about the angles as well? I wanna find the height of a palm tree in my yard ( not enough space to use the stick method on other YT videos )

  • @Schazaa
    @Schazaa13 жыл бұрын

    @patrickJMT Ah I see, thanks for clarifying :).

  • @Grounded_Rooted
    @Grounded_Rooted13 жыл бұрын

    perfect!

  • @jazaabdullah8846
    @jazaabdullah88465 жыл бұрын

    Great! But if I want to do it practically how can I measure the angles?

  • @Emotekofficial

    @Emotekofficial

    5 жыл бұрын

    well, then you should know what is your distance from building as adjacent side and what is the height of the building... then you can get the angle through tan inverse(-1) of Height of the building/distance of you from building.

  • @brianadjei8794
    @brianadjei87946 жыл бұрын

    helpful...keepitup

  • @xxGATEZxx
    @xxGATEZxx11 жыл бұрын

    you can do that problem in about 30 seconds just using sine law

  • @jdm68

    @jdm68

    6 жыл бұрын

    xxGATEZxx agreed it would’ve have been much easier to solve and simpler to explain

  • @lilachu7654

    @lilachu7654

    3 жыл бұрын

    How?

  • @SageBaka

    @SageBaka

    3 жыл бұрын

    @@lilachu7654 if you're still interested, look up sine law. 180 minus 25 degrees and you have all three angles, 15, 155 and 10, and one length, 40m, for the first triangle on the left. Using the sine law you can find the longest length of that triangle which is also the hypotenuse of the entire right angle triangle. With the hypotenuse found, use SOH where Sin15= opposite/hypotenuse, you can find the height of the building which is the opposite of the triangle.

  • @gabrielgalvez7681
    @gabrielgalvez76812 жыл бұрын

    You helped me with my Video Output, Aids is cringe

  • @jolo3213

    @jolo3213

    2 жыл бұрын

    Aids is so cringe skull emoji x7

  • @MrEmilywooten88
    @MrEmilywooten884 жыл бұрын

    What would the decimal be?

  • @NONO200911
    @NONO20091112 жыл бұрын

    Thank you for explaining

  • @nikpott3850
    @nikpott38504 жыл бұрын

    Quick Question Do you know the answer to this? You are standing 60 ft from a building and to view the very top of the building requires you to look up at an angle of 60°. What is the height of the building to the nearest whole number? General hint: this is a trig problem and can be solved using one of the following: Sine, Cosine, or Tangent.

  • @krislegends

    @krislegends

    2 жыл бұрын

    104

  • @bbytt9845
    @bbytt98454 жыл бұрын

    Patrick am confused where did you get the 425 from? ….. this is so hard worst am stuck in he quarantine doing maths graded work... which is hard ......10 grade is killing meeeeeeee

  • @kristinapimenova7890

    @kristinapimenova7890

    4 жыл бұрын

    Same i get stuck at that part i didnt understand that part even wen replaying múltiple of times

  • @user-ch5zj2uf4v

    @user-ch5zj2uf4v

    4 жыл бұрын

    @shadowcat @kristina pimenova at 6:32 sec he has 0.575h on the left and 1.0h on the right. He subtracts 0.575h from both sides. This cancels out the 0.575h on the left. That leaves 1.0h - 0.575h =0.425h on the right. Hope that helps 😊

  • @kristinapimenova7890

    @kristinapimenova7890

    4 жыл бұрын

    @@user-ch5zj2uf4v thank you sm , you're a lifesaver

  • @user-ch5zj2uf4v

    @user-ch5zj2uf4v

    4 жыл бұрын

    @@kristinapimenova7890 no probs 😊😊

  • @bryanihdolviduya2582

    @bryanihdolviduya2582

    3 жыл бұрын

    i

  • @ryansolon1970
    @ryansolon19703 жыл бұрын

    how did you get .425?

  • @saraqostahterra4548
    @saraqostahterra45484 жыл бұрын

    I have 25,196 meters Edit : I only used sin and the triangle rule (max 180 degrees), and divided the left triangle into two.

  • @showiestsugar74gaming42
    @showiestsugar74gaming4211 ай бұрын

    I was about to find the height of my door but idk what's the angle and the hypotenuse of it. I only know the adjacent of the door. How to solve it.

  • @godboy1708
    @godboy17084 жыл бұрын

    Can't it be done by using cot

  • @DoctorFashion
    @DoctorFashion4 жыл бұрын

    THIS TOOK WAAAAY TOO LONG

  • @patrickjmt

    @patrickjmt

    4 жыл бұрын

    that's what she said

  • @agamgujral5696

    @agamgujral5696

    4 жыл бұрын

    @@patrickjmt can you clarify the last part for me

  • @sidjiiimenudo842

    @sidjiiimenudo842

    3 жыл бұрын

    bruh as long it is there, it doesnt matter!

  • @fredflintstone8048

    @fredflintstone8048

    2 жыл бұрын

    One might want to play the video at 2x.. It takes half as long that way ;-)

  • @MultiBlahblah2012
    @MultiBlahblah201211 жыл бұрын

    I fucking love you.

  • @AnaManish
    @AnaManish11 ай бұрын

    Where you get 425 from

  • @mhmus5607
    @mhmus56076 жыл бұрын

    h=40 / (tand(90 - 15) - tand(90 - 25))

  • @dattuan9122
    @dattuan91226 жыл бұрын

    To use the tan formula, the triangle must be supposed to be squared.

  • @damnson1356

    @damnson1356

    4 жыл бұрын

    and the buildings supposely are bulit squared lol

  • @clarencehalog4426
    @clarencehalog44268 жыл бұрын

    thanks dude

  • @danybar1991
    @danybar19917 жыл бұрын

    Super confused right now. How did you get Tangent of 15 as .268? No matter what calculator I use, I don't get that number!

  • @patrickjmt

    @patrickjmt

    7 жыл бұрын

    Your calculator is probably in 'radian' mode. Just go to google and type : tangent of 15 degrees. I got this: 0.26794919243

  • @yeonlakhaeme5540

    @yeonlakhaeme5540

    6 жыл бұрын

    change the mode of your scical

  • @pDm.-_pDm
    @pDm.-_pDm5 жыл бұрын

    How does .575 turn into .425?? I feel like if you divide .575 by each side you would get 10.72= .575h

  • @pDm.-_pDm

    @pDm.-_pDm

    5 жыл бұрын

    I ment subtract by .575 by each side*

  • @willys.galvezjr8533

    @willys.galvezjr8533

    2 жыл бұрын

    yeah I really confuse

  • @ewanhunter2477

    @ewanhunter2477

    2 жыл бұрын

    Yeaah this part completely through me off and made no sense. A number was randomly chosen to minus and used without an explanation ... And im applying this math to different numbers so I can't just copy haha lol

  • @canislupusfool

    @canislupusfool

    2 жыл бұрын

    ​@@ewanhunter2477 On the right hand side of the equation there's one 'h' and on the left hand side of the equation there 0.575 of an 'h'. He then minused 0.575h from both sides. Left side: 0.575h -0.575h = 0 Right side: 1h-0.575h = 0.425h A simpler version of the same equation: $10 + 0.5apple = 1apple ( minus 0.5apple from both sides) $10 = 0.5apple (then divide both sides by 0.5 because any number divided by itself = 1) $20 = 1apple Damn, that's quite an expensive apple. Anyway, I hope this helped

  • @easymathsolutionwithsirzee7836
    @easymathsolutionwithsirzee78363 жыл бұрын

    Its should be solve by first find value of x

  • @danmatelsky6064
    @danmatelsky6064 Жыл бұрын

    Are you aware of .70711 method ?

  • @Adrianexii
    @Adrianexii11 жыл бұрын

    Your videos are great man but I dont understand one point no matter how many times i replay that last bit, how did you get .425?

  • @dylanmontano6150

    @dylanmontano6150

    7 жыл бұрын

    ikr wtf

  • @yokan1342

    @yokan1342

    5 жыл бұрын

    1-0.575

  • @reddragongod6548
    @reddragongod65483 жыл бұрын

    Why did you say substract if its devide I was minusing it when I use devision I got the same answer 575

  • @MrVinnyable1
    @MrVinnyable113 жыл бұрын

    awesome.. thats all i can say.

  • @Brekstahkid
    @Brekstahkid2 жыл бұрын

    You did it the very long way.

  • @Schazaa
    @Schazaa13 жыл бұрын

    Good job, but I actually think using law of sines to find Hypotenuse of the big triangle and then simply use sine to find height would be way simpler =). But well maybe that's just me. Anyway, I also wanted to thank for your other videos, they are really helpful, especially the calculus ones :).

  • @hadassahheadley2241

    @hadassahheadley2241

    6 жыл бұрын

    Schazaa I did in two minutes using that exact way.

  • @tatu919
    @tatu9194 жыл бұрын

    Can we solve this problem to find the height of the building? H(cot15° - cot25°)= 40m H(3.73201 - 3.1445)=40m H(1.5875)=40m H=40/1.5875 H=25.1968m ______________

  • @tuntunmangtawn2007

    @tuntunmangtawn2007

    3 жыл бұрын

    The numbers don't add up

  • @louranceacaba7816
    @louranceacaba781610 ай бұрын

    where did you get .425?

  • @louranceacaba7816

    @louranceacaba7816

    10 ай бұрын

    how?

  • @princessnicolenanayon6290
    @princessnicolenanayon62904 жыл бұрын

    Where did you got .425? I'm still confused

  • @smurfgaming8730

    @smurfgaming8730

    4 жыл бұрын

    Me too

  • @alealouiese7404

    @alealouiese7404

    4 жыл бұрын

    Meetooo

  • @kristinapimenova7890

    @kristinapimenova7890

    4 жыл бұрын

    I don't get that part even Wen replaying the part múltiple of times

  • @xyliahvortex661

    @xyliahvortex661

    3 жыл бұрын

    Satorha! Satorha imaoman domosamashi detashinuke taregasayo sonoka!

  • @mastergamer-ut9uj
    @mastergamer-ut9uj3 жыл бұрын

    so much work for one problem

  • @cctang4922
    @cctang49225 жыл бұрын

    I think the answer should be 25.196m, corrected to 3 decimal places.

  • @Eclihpsesss

    @Eclihpsesss

    5 жыл бұрын

    CC Tang thats because he corrected earlier equations to 2 dp, thats why the final solution isn't that accurate

  • @robydurdstick3204
    @robydurdstick32044 жыл бұрын

    Math is beautiful

  • @badgrfan
    @badgrfan8 жыл бұрын

    What brand and model of calculator is that?

  • @patrickjmt

    @patrickjmt

    7 жыл бұрын

    it is an old iphone.

  • @badgrfan

    @badgrfan

    7 жыл бұрын

    patrickJMT Thank you.

  • @Eclihpsesss

    @Eclihpsesss

    5 жыл бұрын

    Lol

  • @prosperaboyeji7022
    @prosperaboyeji70224 жыл бұрын

    A balloon is held by a string 300m long. If the balloon is 125m above the ground. Find the angle the string makes with the horizontal. Plsss answer🤔🤔🤔🤔😣😣

  • @wendyqiao3209

    @wendyqiao3209

    3 жыл бұрын

    As you're trying to find an angle, you are going to have to use the inverse of one of the trig functions. 300m is the hypotenuse and 125m is the opposite side of the triangle so you need the inverse of the law of sines. Therefore, I think that sin-1(123/300) should get you the answer. The answer should be 24.62 degrees.

  • @lilachu7654
    @lilachu76543 жыл бұрын

    Now that math class is over. Forgot how to do all of it already.

  • @weenieinc.5885
    @weenieinc.58853 жыл бұрын

    Either way imma look away for one sec turn back and see enchanting table on the board

  • @karlchristianbognot1842
    @karlchristianbognot18425 жыл бұрын

    or just ask the engineer who made the building. Regardless this is helpful when you don't have any tools around

  • @user-jh7oj3wv3j
    @user-jh7oj3wv3j4 ай бұрын

    do you not use SOHCAHTOA? 🤨🤨

  • @veronicazamudio364
    @veronicazamudio3649 жыл бұрын

    How do I find the height of a building using trigonometry and how do I use tan. On a calculator??

  • @manishgulia7764

    @manishgulia7764

    4 жыл бұрын

    Nice

  • @joshuam.mirabel5280
    @joshuam.mirabel52803 жыл бұрын

    too long process but for my teacher its an additional points

  • @dexterforeman
    @dexterforeman5 жыл бұрын

    There's an easier way to solve that problem thank you anyway

  • @mihlafathima1492
    @mihlafathima14928 ай бұрын

    Iam watch this video in 2023 and from india, kerala 😁

  • @anakincurt3273
    @anakincurt327310 ай бұрын

    I actually know some equations but I’m only grade 2

  • @mactopherbual4029
    @mactopherbual4029 Жыл бұрын

    Why my answer is 22.84 I used radians in my calculator

  • @blossomyguri_
    @blossomyguri_3 жыл бұрын

    How he got .425?

  • @rickyuniverse8155
    @rickyuniverse81553 жыл бұрын

    How come 1-.525 = .425

  • @yousafraufi6625
    @yousafraufi66253 жыл бұрын

    How did u got .425. 10.72-.575 won't give u .425.

  • @mojoman7141

    @mojoman7141

    3 жыл бұрын

    1h minus -.575 = .425. At 6:42 he tells you what he got .425 from. Hope it helps.

  • @bbytt9845
    @bbytt98454 жыл бұрын

    I need helpppppppppp

  • @lovesickellie2833
    @lovesickellie28332 жыл бұрын

    Ok im dead

  • @smurfgaming8730
    @smurfgaming87304 жыл бұрын

    Ha

  • @aviationenthusiast5766
    @aviationenthusiast5766 Жыл бұрын

    Trigonometry is the easiest math for me. Gosh i hate algebra

  • @willys.galvezjr8533
    @willys.galvezjr85332 жыл бұрын

    I divide .466 .840 the answer is. 55 Lmao help me

  • @Jade-up5hj
    @Jade-up5hj5 жыл бұрын

    Hey, Look on the bRIGHT side at least we can solve this things within 7 minutes

  • @_nour17il
    @_nour17ilАй бұрын

    طولتها وهي قصيره 💀

  • @thebestofthebest2702
    @thebestofthebest27023 жыл бұрын

    Maths is a big problem.7mins for one question smh

  • @patrickjmt

    @patrickjmt

    3 жыл бұрын

    lol, you think 7 minutes is a long time to solve a question????!

  • @thebestofthebest2702

    @thebestofthebest2702

    3 жыл бұрын

    What would be a long time then?

  • @xyliahvortex661

    @xyliahvortex661

    3 жыл бұрын

    @@thebestofthebest2702 Satorha! Satorha imaoman domosamashi detashinuke taregasayo sonoka!

  • @johnarvnrcs1609
    @johnarvnrcs16096 жыл бұрын

    where did you get .425?

  • @musieyosef6920

    @musieyosef6920

    5 жыл бұрын

    1h- 0.575h = 0.425h

  • @5minshandcraft123

    @5minshandcraft123

    5 жыл бұрын

    @@musieyosef6920 Amazing random helper... may I win this game cuz of you bro .... thanks.