Respuesta :

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:

[tex]h=0.84miles[/tex]

Step-by-step explanation:

From the question we are told that:

Angle [tex]\theta = 6 \textdegree[/tex]

Horizontal distance traveled [tex]d=8miles[/tex]

Generally the Trigonometric equation for Height  is mathematically given by

[tex]Tan \theta=\frac{h}{5}[/tex]

[tex]h=8*tan(6)[/tex]

[tex]h=0.84miles[/tex]