A road has an incline of 10°. To the nearest foot, find the increase in altitude of a car after driving 4,000 feet along the road.

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11-05-2017
Mathematics

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A road has an incline of 10°. To the nearest foot, find the increase in altitude of a car after driving 4,000 feet along the road.

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irspow irspow · Answer 1 · 2017-05-11T18:05:49+02:00

irspow irspow

11-05-2017

sinα=a/d, α=incline angle, a=altitude, d=distance along road so:

a=dsinα, we are told that α=10°, d=4000

a=4000sin10 ft

a≈694.6 ft (to nearest tenth of a foot)

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