Question

Angles of the elevation and depression: Find the value of x. Round to the nearest tenth.

Answer 1

Answer is 88.2

-------------------------------------------
-------------------------------------------

The bottom side is 500 units, so is the top side which is parallel to the bottom side. 

We'll use the tangent function as we know the adjacent side is 500 and the opposite side is the unknown x.

tan(angle) = opposite/adjacent
tan(10) = x/500
500*tan(10) = x
x = 500*tan(10)
x = 88.16349 ... use a calculator (make sure you are in degree mode)
x = 88.2 ... rounding to one decimal place