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Math Help - Trig Problems in 3D

  1. #1
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    Unhappy Trig Problems in 3D

    I'm currently learning this in math...but I have no clue on how to start the question! This is a 3D trigonometry question so I know it's best to always draw a diagram first. Problem is, I don't how where to begin

    The Crows-nest of a yacht is 50.0 m above water level. The angle of depression from the crows nest to a buoy due west of the boat is 40/degree/. The angle of depression from another buoy S70/degress/W of the yacht is 34/degrees/. How far apart are the buoys?

    The answer is 27.3m...but how did they do it?
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    Quote Originally Posted by SOHCAHTOA View Post
    I'm currently learning this in math...but I have no clue on how to start the question! This is a 3D trigonometry question so I know it's best to always draw a diagram first. Problem is, I don't how where to begin

    The Crows-nest of a yacht is 50.0 m above water level. The angle of depression from the crows nest to a buoy due west of the boat is 40/degree/. The angle of depression from another buoy S70/degress/W of the yacht is 34/degrees/. How far apart are the buoys?

    The answer is 27.3m...but how did they do it?
    let a = horizontal distance from mast to buoy #1

    b = horizontal distance from mast to buoy #2

    a = \frac{50}{\tan(40)}

    b = \frac{50}{\tan(34)}

    angle on the water between a and b is 20 degrees

    let c = distance between the two buoys

    c = \sqrt{a^2 + b^2 - 2ab\cos(20)}
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