Distance Between 2 Ships (Angle of Depression)

Learn how to find the distance between 2 ships using the angle of depression. We go through a typical word problem encountered when students are learning about angle of depression involving right triangle trigonometry. This particular example requires using a system of equations involving 2 triangles and solving the system to find the distance between the 2 boats.
0:22 What is angle of depression and angle of elevation
0:35 Relationship between angle of elevation and depression
1:14 Using tangent to write 2 equations
2:25 Using substitution to solve the system
Related Videos to Help You:
Angle of Elevation & Depression Problems
• Angle of Elevation and...
Right Triangle Trigonometry (Learn Algebra 2)
• Right Triangle Trigono...
Take Your Learning to the Next Level with me!:
Firstly, If you like my teaching style Subscribe to the Channel
bit.ly/SubscribeToMyChannelHere
Get my Learn Algebra 2 Video Course (Preview 13 free video lessons & learn more)
mariosmathtutoring.teachable....
Learn Algebra 1 Video Course
mariosmathtutoring.teachable....
Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at
mariosmathtutoring.teachable.com
* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
www.mariosmathtutoring.com/fr...

Пікірлер: 62

  • @tambuwalmathsclass
    @tambuwalmathsclass4 жыл бұрын

    Great. But for the sake of beginners, stop being, stop rushing fast. 👍

  • @Abdi._.M3
    @Abdi._.M32 жыл бұрын

    I was just doing my home work and i found you, and you have no idea of how I like it. Thanks very much!!!

  • @whatdatechnodogedoin
    @whatdatechnodogedoin Жыл бұрын

    You sir, is a life saver.

  • @user-in3fd5tk1v
    @user-in3fd5tk1v3 жыл бұрын

    sir u really out here saving lives

  • @particleonazock2246
    @particleonazock22463 жыл бұрын

    Brilliant video, I needed this for my 9th grade trig exam.

  • @scottnicholson9651
    @scottnicholson9651 Жыл бұрын

    This was great, Thank You!

  • @nokwandadlamini5361
    @nokwandadlamini53613 жыл бұрын

    great video, really helped

  • @nickaguirre6317
    @nickaguirre63173 жыл бұрын

    Thank you for the video Mario

  • @IOwnKazakhstan
    @IOwnKazakhstan10 ай бұрын

    had a question that had me absolutely lost for a little bit but eventually I got it. A plane is at an altitude of 400m, the pilot looks down at a landmark at an angle of depression of 1.5 degrees, two minutes later, the angle of depression was 5 degrees. The question asked to find the speed of the plane in km/h. To me that sounded like a "there were 4 boys and 6 apples, how many seals were at the zoo" type of impossible question. For a solid 5 minutes I stared at the question thinking "what the actual f*ck am I meant to do" and then it clicked lol. It's 321.1km/h I believe

  • @wittymaxzycomedy
    @wittymaxzycomedy2 жыл бұрын

    Thanks for the teaching sir

  • @chai2131
    @chai21312 жыл бұрын

    thank you so much sir!

  • @kaniine
    @kaniine6 ай бұрын

    mario u got me full marks on my hw ty pookie

  • @nomogi
    @nomogi3 жыл бұрын

    thank you! what about if the boats are in two opposite sides?

  • @samarthk5434
    @samarthk54342 жыл бұрын

    Thanks

  • @ecoobagg6182
    @ecoobagg61823 жыл бұрын

    2:58 : where did u get the value of “D”???

  • @charityharrell4719

    @charityharrell4719

    3 жыл бұрын

    it’s the value of tan10°(d) so d doesn’t really have value yet

  • @sionealofi167
    @sionealofi1672 жыл бұрын

    Hi sir, could you please explain how you extracted the value of D from the calculator?

  • @Streamer_Plug

    @Streamer_Plug

    2 жыл бұрын

    tan(10)

  • @matematicacomdemoclis
    @matematicacomdemoclis4 жыл бұрын

    Great video. Where did this problem you solved come from?

  • @tambuwalmathsclass

    @tambuwalmathsclass

    4 жыл бұрын

    Just assuming

  • @user-qg8ci3qy4f
    @user-qg8ci3qy4fАй бұрын

    Thank you so much sir!!😊

  • @MariosMathTutoring

    @MariosMathTutoring

    Ай бұрын

    Most welcome 😊

  • @yaseralmafraji
    @yaseralmafraji4 жыл бұрын

    this was the best

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad you liked the video Yaser!

  • @user-en6hn3nb1x
    @user-en6hn3nb1x Жыл бұрын

    Thank you so much omg !!!

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    Welcome!!

  • @gabrielasoler8400
    @gabrielasoler84004 жыл бұрын

    Hello Mario! Could you please give some techniques to add or subtract numbers mentally faster? What is intereresting is that I tend to multiply and divide faster mentally 😄. Thank you!

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Hi Gabriella, good question! I don’t have a video on that topic yet but I’m glad you are looking at upleveling your skills!

  • @gabrielasoler8400

    @gabrielasoler8400

    4 жыл бұрын

    @@MariosMathTutoring Thank you!!! Yes, I am looking for that! You may call me Gabby!

  • @sarasaavedra8827
    @sarasaavedra88273 жыл бұрын

    Hi Mario. I was wondering if you could help with some math homework. Q: A lifeguard spots a swimmer in the lake at an angle of depression of 45°. He spots a sailboat, further out, at an angle of depression of 26°. If the lifeguard is 36.5 dm away from the swimmer and 84.7 dm away from the sailboat, how far is the swimmer from the sailboat? The difference between your question and mine is I don't know the height of where the lifeguard is sitting. Would I instead use cosine to find x?

  • @sxrge7349

    @sxrge7349

    2 жыл бұрын

    Sorry no

  • @rachaeladdo5302
    @rachaeladdo53024 жыл бұрын

    🙏🙌🙌🙌✊🏿

  • @lifewithsara2191
    @lifewithsara21914 жыл бұрын

    Hello sir can you please make a video on rational numbers 💖

  • @lifewithsara2191

    @lifewithsara2191

    4 жыл бұрын

    And their operations💖💖 Thankyou

  • @Foreverrulla
    @ForeverrullaАй бұрын

    How did find d stop going fast and explain

  • @Cyrxs
    @Cyrxs3 жыл бұрын

    I like ya cut g

  • @Emmiiillyyy
    @Emmiiillyyy Жыл бұрын

    why are you adding D? Wouldnt distance mean you would subtract d from x?

  • @Chadmarine
    @Chadmarine Жыл бұрын

    I'm putting 37320.5tan(10) and I get 24197.2 in 2:49. what am I doing wrong?

  • @ragnarokk7384
    @ragnarokk73844 жыл бұрын

    Hi can u help me with my homework :3 Transform the following to matrices to RREF A=[ 3 2 2 ] -2 0 1 1 -1 0 B= [ 1 2 3 4 ] -2 4 -3 5 3 0 5 -3

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    I did a video on the topic here: Row Reduced Echelon Form kzread.info/dash/bejne/q4uDlNiSnpC6iJc.html

  • @rickbman6367
    @rickbman63672 жыл бұрын

    Why is it so dam hard to find a video with just 2 angles of depression and no sides? Fuck I hate math

  • @yurmomsie
    @yurmomsie3 жыл бұрын

    how did you get D? you got 1.76 but didn’t really explain where you got it from?

  • @espinosaephraimjoshr.1824

    @espinosaephraimjoshr.1824

    Жыл бұрын

    Same question here

  • @mugiwaranoluffy2406

    @mugiwaranoluffy2406

    Жыл бұрын

    It's tan(10°) bruh. Try it to your calculator and you'll get the answer

  • @creepermods4641

    @creepermods4641

    Жыл бұрын

    D represents another variable to make it clear that they don't use same variables.

  • @RayDoeksen

    @RayDoeksen

    10 ай бұрын

    “Solve for d” happens at about 2:50 d is the difference between the sea level distance between the plane and the first ship, and the plane and the second ship. That’s the distance between the ships, in this simplified 2-dimensional problem.

  • @Gorillax7223

    @Gorillax7223

    9 ай бұрын

    Check inside your pants you'll find d

  • @goldenkandy037
    @goldenkandy0373 жыл бұрын

    What was D's value?

  • @ecoobagg6182

    @ecoobagg6182

    3 жыл бұрын

    FR 😭🤚🏻

  • @Streamer_Plug

    @Streamer_Plug

    2 жыл бұрын

    it had no value, the value place infront of it was tan(10)

  • @Theosphobia
    @Theosphobia3 жыл бұрын

    when i inputted 10000tan(15) i got 2679.491924 ??? i dont know what im doing wrong :(

  • @mariobethell3731

    @mariobethell3731

    3 жыл бұрын

    Divide 10,000 by tan 15 (0.267949) = 37,320.5

  • @Purposefulartlly

    @Purposefulartlly

    3 ай бұрын

    tan(10) x (37320,5)=6580,6

  • @Courage2976
    @Courage29764 жыл бұрын

    I'm in Clac 3, why am I here?

  • @spicelord7764

    @spicelord7764

    4 жыл бұрын

    clac

  • @Courage2976

    @Courage2976

    4 жыл бұрын

    Spice Lord obviously still in elementary English

  • @andreitugano6131
    @andreitugano6131 Жыл бұрын

    Jeff Bezos??

  • @Amitmondal-rx1ho
    @Amitmondal-rx1ho2 жыл бұрын

    Using calculator is a sin. It's illegal

  • @newgenssc6246
    @newgenssc62463 жыл бұрын

    hoi kalbo

  • @safwankamal2214
    @safwankamal22142 жыл бұрын

    Horizaul🤣

  • @safiyayinusa759
    @safiyayinusa759 Жыл бұрын

    I don't understand

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    Which part?