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]