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18 October, 19:32

A portion of a hiking trail slopes upward at about a 6 degree angle. To the nearest tenth of a foot, what is the value of x, the hiker's change in vertical position, if he has traveled a horizontal distance of 120 feet?

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  1. 18 October, 22:26
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    The vertical distance will be given by:

    sin θ=opposite/hypotenuse

    but

    θ=6°

    opposite=x

    hypotenuse=120 ft

    thus

    sin 6=x/120

    x=120 sin 6

    x=12.54 ft

    thus the hiker's change of position is 12.54 ft
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