The Ponce de Leon lighthouse in St. Augustine, Florida, is the second tallest brick tower in the United States. It was built in 1887 and rises 175 feet above sea level. How far from the base of the lighthouse is a motorboat if the angle of depression from the top of the lighthouse is 13° 15'?
A. ≈ 654.2 ft.
B. ≈ 743.2 ft. <-- This is the answer
C. ≈ 765.8 ft.
D. ≈ 648.6 ft.

Respuesta :

Here we can apply the trigonometric ratio:
tan(∅) = height / base
The base represents the distance from the ship.

base = height / tan(∅)
∅ = 13.25°
base = 175 / tan (13.25)
base = 743.198 ft
Base = 743.2 ft

The answer is indeed B.

Answer:

B on E2020

Step-by-step explanation: