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9 June, 18:18

A portion of a hiking trail slopes upward at about a 6 angle. To the nearest tenth of a foot, what is the value of x, the distance the hiker traveled along the path, if he has traveled a horizontal distance of 120 feet?

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  1. 9 June, 18:29
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    The distance covered by the hiker if he traveled a horizontal distance of 120 ft at and angle of 6° will be given by:

    cos θ=adjacent/hypotenuse

    let the hypotenuse be h, adjacent = 120 ft, θ=6°, thus plugging in the values we shall have:

    cos 6=120/h

    h=120/cos 6

    h=120.661 ft

    Answer: 120.661 ft
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