Question

matt is standing on top of a cliff 305 feet above a lake. the measurement of the angel of depression to a boat on the lake is 42 degrees. how far is the boat from Matt?

Answer 1

Distance of boat from Matt = 274.5 ft (Approx.)

Explanation:

Given:

Height of cliff = 305 ft

Angle = 42°

Find:

Distance of boat from Matt

Computation:

Tan 42° = Distance of boat from Matt / Height of cliff

0.90 = Distance of boat from Matt / 305

Distance of boat from Matt = 274.5 ft (Approx.)