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?

Answer 1

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 2

`\theta = 15.11 degree`

Step-by-step 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 = (I)/(h)`

`\theta = \tan^(-1)(27)/(100)`

`\theta = 15.11 degree`