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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?

Verified Answer :

AL2006

If you sketch the picture for yourself, you'll see that the 27% ... or 0.27 ... is the tangent of the angle between the horizontal and the slope. With your calculator, you can find the angle whose tangent is 0.27 . It's about 15.1 degrees.

Answer:

\(\theta = 15.11 degree\)

Explanation:

Given data:

Grade of raising is 27 %

Since rising grade is 27% therefore it have 27 units for 100 unit distance

I =  100 units,

h =  27 units

angle of inclination is determined as

\(tan\theta = \frac{I}{h}\)

\(\theta = \tan^{-1}\frac{27}{100}\)

\(\theta = 15.11 degree\)