Question

The steepness, or grade, of a highway or railroad is expressed as a percent. In the photo of the cog railway at Pike's Peak, in Colorado, the grade is 18%. Thus, for every 100 ft of horizontal run, the train rises 18 ft. Find the angle of the inclination of the railway. a. 10.2° c. 7.85° b. 15.7° d. 19.2°

Answer 1

10.20°

Explanation:

Given that:

Grade = 18% ; rise = 18ft

For every 100 feets, plane roses 18%

The question can be solved using Pythagoras rule :

Tangent θ = opposite / Adjacent

Tan θ = 18 / 100

Tan θ = 0.18

θ = tan^-1(0.18)

θ = 10.203973

θ = 10.20°