Question

Matt is standing on top of a cliff 305 feet above a lake.

The measurement of the angle of depression to a boat on the

lake is 42˚. How far is the boat from the base of the cliff?

Weren't you supposed to use tan 42 = 305/x or tan 48 = x/305

Answer 1

you are correct the equation to calculate this is tan 42 = 305/x or tan 48 = x/305. using these equations we can find that the boat is approximately 250 feet from the base of the cliff.