On a boat tour in New York Harbor, Samuel views the Statue of Liberty. He knows from a brochure that the statue is 93 meters tall. If the angle formed by the water and the line segment from boat to the top of the statue form a 26.3° angle, how far is the boat from the base of the statue?

Question

Essence Gibbs

Mathematics

15 February, 04:24

On a boat tour in New York Harbor, Samuel views the Statue of Liberty. He knows from a brochure that the statue is 93 meters tall. If the angle formed by the water and the line segment from boat to the top of the statue form a 26.3° angle, how far is the boat from the base of the statue?

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Kiera Parrish · Answer 1

This is the concept of application of trigonometry; the distance of the boat from the liberty statute will be:

tan theta=[opposite]/[adjacent]

thus;

let

the distance be b;

thus;

opposite=93 m

adjacent = b

theta=26.3

hence;

tan 26.3=93/b

solving for b we get;

b=93/tan 26.3

b=188.171 m