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Sarah is standing 15 feet from a street lamp .The lamp is casting a shadow 8 feet long. Sarah thinks that the angle of elevation from the top of her shadow to the top of the lamp is 50°.The street lamp is how long

 Oct 31, 2016
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The pole forms one leg of a right traingle, whose opposite angle is 50 degrees

the top of her shadow is 8 + 15 = 23  feet away from the base of the pole and is the OTHER leg of the right triangle

 

Tan 50 = opposite/23

23 tan50 = opposite = light pole height =27.41 ft

 Oct 31, 2016

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