Question

A carpenter is building a ramp that will extend from the ground to the base of a doorway that is 3 feet above the ground. The ramp will be 20 3/4 feet long. Which value is closest to the angle of elevation of the ramp?

Answer 1

The angle of elevation is given by,

∅ =
`sin^(-1)(0.1445) = 8.308 degrees`

Explanation:

The length ladder is given as 20.75 feet.

The depth of ground is 3 feet below.

The figure formed is that of a right angled triangle.

Let the angle of elevation be ∅.

By trigonometry,

sin(∅) =
`(opposite)/(hypotenous) = (3)/(20.75) = 0.1445`

Thus, the angle of elevation is given by,

∅ =
`sin^(-1)(0.1445) = 8.308 degrees`