Question

A boat is heading towards a lighthouse, whose beacon-light is 140 feet above the water. The boat's crew measures the angle of elevation to the beacon, 1o. What is the ship's horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest tenth of a foot if necessary.​

Answer 1

see the figure below to better understand the problem

we have that

tan(10∘)=140/x -----> by TOA

solve for x

x=140/tan(10∘)

x=794 ft

therefore

The answer is 794 feet