Important math HW

Question

From the top of a lighthouse

85

feet​ high, the angle of depression to a small boat is

42.3131degrees°.

How far from the foot of the lighthouse is the​ boat?

Answer 1

Right triangle problem

draw a picture, draw a horizontal line at the top of your light house, angle of depression starts at the line then goes down to where your water is. This line makes your hypotenuse. But the angle is on the outside of your right triangle.

To solve this problem. 90°-42.3131° will give you the top inside angle.

From there tan(angle)= opposite side/adjacent side

tan(90°-42-3131°)=distance from lighthouse/85ft

distance from light house= 85ft(tan(90°-42.3131))