asked 27.0k views
24 votes
On the observation platform in the crown of the Statue of Liberty, Miguel is approximately 250 ft above ground. He sights a ship in New York harbor and measures the angle of depression as 18 degrees. Find the distance from the ship to the base of the statue. Show work

asked
User Linek
by
8.2k points

1 Answer

6 votes

Answer:

Let the distance from the base of the statue to the ship be d, then

tan 18 = 250/d

d = 250 / tan 18 = 769.4

The distance from the base of the statue to the ship to the nearest foot is 769 feet.

Explanation:

answered
User Steven Wood
by
8.6k points
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