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Dolores is standing on a horizontal ground level with the base of the Statue of Liberty in New York City. The angle formed by the ground and the line segment from her position to the top of the statue is 26.3°. The height of the Statue of Liberty is approximately 93 meters. Find her distance from the Statue of Liberty to the nearest meter.

 Jan 8, 2016
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We know an angle and the opposite side of a right triangle....and we're looking for the adjacent side ....so......We can use the tangent for this :

 

tan (26.3) = 93 /  d    where d is the distance to the base.....re-arrange...

 

d = 93 / tan(26.3)  = about 188.17  m  = 188 m  rounded

 

 

 

cool cool cool

 Jan 8, 2016
edited by CPhill  Jan 8, 2016

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