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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 m…

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 m…
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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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User Vo Quoc Thang
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8.1k points

1 Answer

3 votes
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.)
answered
User Jonsidnell
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9.4k points
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