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.
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.
1 answer