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12-08-2016
Mathematics

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An engineer on the ground is looking at the top of a building. The angle of elevation to the top of the building is 22°. The engineer knows the building is 450 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?

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nobillionaireNobley nobillionaireNobley

17-08-2016

Let the distance from the engineer to the base of the building be x, then
tan 22 = 450/x
x = 450/tan 22 = 1,113.79

Therefore the distance from the engineer to the base of the building to the nearest foot = 1,114 feet

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