from the top of a lighthouse 185 feet high, the angle of depression of a boat out at sea is 27. assuming that the bbase of the lighthouse is at sea level, what is the distance from the boat to the base of the lighthouse to the nearest ten feet
We can use the tangent to solve this:
tan 27 = 185 / D where D is the distance we are interested in ...... rearrange as
D = 185 / tan 27 = 360 ft. [to the nearest ten feet]