Answer:
grade of the road is 14.05 %
Step-by-step explanation:
given data
road climb angle = 8°
to find out
grade of the road
solution
grade of the road is an incline or decline in a highway as ratio of rise
grade of the road is here express as
grade of the road = tan θ ....................1
put here angle θ
grade of the road = tan 8
grade of the road = 0.140540
so grade of the road is 14.05 %
Answer:
14.05%.
Step-by-step explanation:
Please find the attachment.
We have been given that a road climbs at an 8° angle with the horizontal. What is the grade of the road?
We know that slope of a line is equal to rise over run.
We know that tangent relates opposite side of a right triangle with adjacent side. To solve our given problem, we will use tangent.
[tex]\text{tan}(8^{\circ})=\frac{\text{Rise}}{\text{Run}}[/tex]
[tex]\text{tan}(8^{\circ})=\text{Slope}[/tex]
[tex]\text{Slope}=0.140540834702[/tex]
Now, we multiply 0.140540834702 by 100 to convert into percentage.
[tex]0.140540834702\times 100\%=14.0540834702\%\approx 14.05\%[/tex]
Therefore, the grade of the road would be 14.05%.
