Question

A boat is heading towards a lighthouse, whose beacon-light is 139 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 5 ∘ . What is the ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest hundredth of a foot if necessary.

Answer 1

Answer:

The distance of the ship from the lighthouse can be determined using

Step-by-step explanation:

...........

Answer 2

Answer:

1588.78 ft

Step-by-step explanation:

In a Right triangle  

tangent (angle)  = opposite side / adjacent side

                                       =  height / distance     ( for this problem)

                           tangent 5°  =  139/distance

                                distance = 139 / tangent 5° = 1588.78 ft