A snow tubing lane is 200 yards with a vertical drop of 45 yards. What is the angle of depression? Round to the nearest degree

Respuesta :

see the attached figure to better understand the problem

let

alfa--------> the angle of depression

we know that

in the right triangle ABC

sin alfa=opposite side angle alfa/hypotenuse

opposite side angle alfa=AB--------> 45 yd

hypotenuse=AC-------> 200 yd

so

sin alfa=45/200

alfa=arc sin (45/200)-----------> alfa=13.002°------> alfa=13°

therefore

the answer is

the angle of depression is 13 degrees

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