Question

A train is chugging up a hill that has a 27 percent grade, which means that for every 100 meters it covers horizontally, it rises 27 meters. What is the angle of inclination?
.
7.7°
B.
15.1°
C.
16.2°
D.
17.3°

Answer 1

tan@ = 27/100 = 0.27
theta = tan^-1 × 0.27 =15.1°

Answer 2

Hey dear,

◆ Answer-
(B) θ = 15.11 °

◆ Explanation-
# Given-
Grade of rising = 27 %

# Solution-
As grade of rising is 27%, it will have 27 units height when it covers 100 units distance.
l = 100 units, h = 27 units

Angle of inclination is calculated by-
tanθ = l/h
tanθ = 27/100
tanθ = 0.27

Taking inverse,
θ = 15.11 °

Therefore, angle of inclination is 15.11°.

Hope it helps...