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26 July, 09:59

A highway makes an angle of 6 with the horizontal. This angle is maintained for a horizontal distance of 5 miles.

To the nearest hundredth of a mile, how high does the highway rise in this 5-mile section? Show the steps you use to find the distance.

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  1. 26 July, 10:47
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    1) Draw a right triangle with these measures:

    angle with the horizontal: 6 degress

    horizontal segment: 5

    height: x

    2) Definition of tangent : tan (6°) = opposite leg / adjacent leg = x / 5 = >

    3) Solve for

    x = 5tan (6°) = 0.53 miles

    Answer: 0.53 miles
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