Question

A highway makes an angle of 6 degrees with the horizontal. This angle is maintained for a horizontal distance of 8 miles

Answer 1

Complete Question

A highway makes an angle of 6 degrees with the horizontal. This angle is maintained for a horizontal distance of 8 miles

To the nearest hundredth of a mile, how high does the highway rise in this

*mile section?

Answer:

`h=0.84miles`

Explanation:

From the question we are told that:

Angle
`\theta = 6 \textdegree`

Horizontal distance traveled
`d=8miles`

Generally the Trigonometric equation for Height is mathematically given by

`Tan \theta=(h)/(5)`

`h=8*tan(6)`

`h=0.84miles`