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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Mathematics

11 July, 11:42

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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Answers (1)

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Sebastian Warren · Answer 1

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

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.

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.