Question

Calculate the angle of depression, x, if the boat is 750 ft. away from the light house and the light house is 300 ft high. Round your answer to the nearest tenth of a degree.

Answer 1

Firstly , we need to draw diagram

we are given

opposite =300

adjacent =750

now, we can use tan formula

$tan(x)=\frac{300}{750}$

now, we can find x

$x=tan^{-1}(\frac{300}{750})$

we get

$x=21.8 degree$

so,

angle of depression is 21.8 degree.....Answer