From the top of a lighthouse 57 feet above sea level, the angle of depression to a small boat is 11.1°. How far from the foot of the lighthouse is the boat?

the distance of the boat from the foot of the lighthouse is

290.8 feet

Step-by-step explanation:

The scenario is represented by the right angle triangle shown in the attached photo.

Looking at triangle ABC, the height of the light house above sea level represents the opposite side of the right angle triangle.

Angle A = 11.1° since it is alternate to the angle of depression.

To determine AB, the distance of the small boat from the base of the lighthouse, we would apply

the tangent trigonometric ratio which is expressed as

Tan θ, = opposite side/adjacent side. Therefore,

Tan 11.1 = 57/AB

AB = 57/Tan 11.1 = 57/0.196

AB = 290.8 feet

1/800 is the right answer

2160ft3

step-by-step explanation: