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24 September, 09:08

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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  1. 24 September, 10:45
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    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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