20. A tourist looks out from the crown of the Statue of Liberty, which is 250 ft tall. The tourist sees a ship coming into the harbor and measures the angle of depression as 18 degrees. Find the distance from the base of the Statue of Liberty to the ship to the nearest foot.
*
237.8 ft
77.3 ft
81.2 ft
769.4 ft
To find the distance from the base of the Statue of Liberty to the ship, we can use trigonometry.
Let x be the distance from the base of the Statue of Liberty to the ship.
Given that the angle of depression is 18 degrees and the height of the Statue of Liberty is 250 ft, we can set up the following equation:
tan(18 degrees) = 250/x
Solving for x, we get:
x = 250 / tan(18 degrees)
x ≈ 769.4 ft
Therefore, the distance from the base of the Statue of Liberty to the ship is approximately 769.4 ft.
So the answer is 769.4 ft.