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

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.