Question

Calculate the angle of depression, x, if the boat is 850 ft. away from the lighthouse and the lighthouse is 250 ft. high. Round your answer to the nearest tenth. Do not include units.

Answer 1

Firstly , we can draw diagram

we can see that

adjacent = 850

opposite =250

so, we can use tan formula

$tan(x)=\frac{250}{850}$

$x=tan^{-1}(\frac{250}{850})$

16.38

$x=16.38$

so,

angle of depression is 16.38 degree........Answer