A tourist looks out from the crown of the Statue of Liberty, approximately 250 ft. above the ground. The tourist sees a ship coming into the harbor and measures the angle of depressions 18°. Find the distance from the base of the statue to the ship to the nearest foot.
a. 77 ft.
b. 81 ft.
c. 263 ft.
d. 769 ft.
We can use tangent to solve the problem. Let x be the distance from the base of the Statue of Liberty to the ship.
Then, we have:
tan(18°) = 250 / x
Multiplying both sides by x, we get:
x*tan(18°) = 250
Solving for x, we get:
x = 250 / tan(18°) ≈ 769 ft (to the nearest foot)
Therefore, the answer is d. 769 ft.