A tourist looks out from the crown of the Statue of Liberty, approximately 250 feet above the ground. The tourist sees a ship coming into the harbor and measures the angle of depression as 18°. Find the distance from the base of the statue to the ship to the nearest foot. (1 point) Responses 77 ft 77 ft 81 ft 81 ft 263 ft 263 ft 769 ft
To find the distance from the base of the statue to the ship, we can use trigonometry.
Let x be the distance from the base of the statue to the ship.
tan(18°) = 250 / x
x = 250 / tan(18°)
x ≈ 769 feet
Therefore, the distance from the base of the statue to the ship is approximately 769 feet.
The correct response is 769 ft.