To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown angle of depression. If the beam of light shines on the sea surface at a point that is 865 feet away from the base of the lighthouse, what is the angle of depression?

Step-by-step explanation:

Given that:

Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.

The angle of depression is unknown.

Distance of the point at sea surface from the base of lighthouse is 865 ft.

This situation can be modeled or can be represented as the figure attached in  the answer area.

The situation can be represented by a right angled in which we are given the base and the height of the triangle.

And we have to find the value of (Because they are the internal vertically opposite angles).

Using tangent ratio:

Therefore, the angle of depression is:

the answer would be a 24

step-by-step explanation:

c=2πr=2·π·3=24

then