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22 December, 21:37

A 1-story community hospital has the shape of a right triangle with the sides measuring 119.62 meters, 110 meters and 47 meters. The owners will construct a new aisle perpendicular to the hypotenuse coming from the right angle. What will be the length of the new aisle?

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  1. 22 December, 21:39
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    Angle between the sides measuring 119.62 and 110 meters can be obtained thus

    cos theta = 110 / 119.62 = 0.9196

    Theta = arccos (0.9196) = 23.13

    Let the length of the new aisle be x, then

    sin 23.13 = x / 110

    x = 110 sin 23.13 = 43.2 meters.
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