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25 August, 20:38

Mary walks a certain distance up a road that climbs a hill. The vertical component of her displacement is 17.63 meters, and the horizontal component of her displacement is 100 meters. What is the road's approximate angle of inclination?

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  1. 25 August, 21:05
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    The tangent of that angle is 17.63/100 = 0.1763.

    My calculator says that the angle with that tangent is 9.9985°.

    10° is awfully close, and it's a much easier answer.

    (It's less than 0.015% wrong.)
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