Question

If a path has a 17% grade (a rise of 17 meters for a horizontal change of 100 meters), which expression calculates the angle between the path and horizontal?

(A) ( tan⁻¹ left(17/100 right) )
(B) ( -1 × 17/100 )
(C) ( tan left(17/100 right) )
(D) ( sin left(17/100 right) )

Answer 1

To find the angle of a path with a 17% grade, we must use the inverse tangent function on the ratio 17/100, which is expression (A) (tan∑(17/100)).

Step-by-step explanation:

To calculate the angle between the path with a 17% grade and the horizontal, we should use the inverse tangent function. A grade of 17% means there is a rise of 17 meters for a horizontal distance of 100 meters. The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side. Therefore, to find the angle, we take the inverse tangent (tan∑) of the ratio of the rise over the run (17/100).

The correct expression for calculating the angle is (A) (tan∑(17/100)). This will provide the angle in degrees between the path and the horizontal.