Question

A helicopter hovers 1500 feet above a small island. The

figure shows that the angle of depression from the
helicopter to point P is 40°.
How far off the coast, to the nearest foot, is the island?
400
1500ft
Please help me solve this problem

Answer 1

the island is 1787.63ft far.

Explanation:

<P=40° alternate angle

in triangle

relationship between perpendicular and base is given by tan angle

tan 40=p/b

tan40=1500/b

b=1500/tan40=1787.63ft