SOLUTION: From the top of a building, you look down at an object on the ground. If your eyes are 20 meters above the ground and the angle of depression is 50° how far is the object from you

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Question 1199832: From the top of a building, you look down at an object on the ground. If your eyes are 20 meters above the ground and the angle of depression is 50° how far is the object from you?
Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
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From the top of a building, you look down at an object on the ground.
If your eyes are 20 meters above the ground and the angle of depression is 50°
how far is the object from you?
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You have a right-angled triangle.


20 m is its leg;  50° is the angle in the triangle, opposite to this leg.
The hypotenuse "H" is "how far".


So, you write  20 = H*sin(50°) and find

    H = 20%2Fsin%2850%5Eo%29.


After that, you use your calculator and get the answer.

You are fully instructed.