Question

Matt is standing on top of a cliff 50 feet above a lake. The measurement of the angle of depression to a boat on the lake is 60˚. How far is the boat from Matt?

Answer 1

28.87 feet

Explanation:

Let the distance from Matt to the boat be x

Tan theta =opp/adj

Tan 60° = 50/ x

x = 50/Tan 60°

x = 50/1.7321

x = 28.87 feet