From the top of a lighthouse 75 feet high, the cosine of the angle of depression of a boat out

at sea is 4. To the nearest foot, how far is the boat from the base of the lighthouse?

2 answers

The cosine can't be greater than 1.
cosA = 0.4,
A = 66.4 deg.

tan66.4 = 75 / d,
d = 75 / tan66.4 = 33 Ft.