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:

$h=0.84miles$

Step-by-step 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

$Tan \theta=\frac{h}{5}$

$h=8*tan(6)$

$h=0.84miles$