julie1824
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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?

Respuesta :

CastleRook
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

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