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

Answer:

The angle of elevation is given by,

∅ = $sin^{-1}(0.1445) = 8.308 degrees$

Step-by-step 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(∅) = $\frac{opposite}{hypotenous} = \frac{3}{20.75} = 0.1445$

Thus, the angle of elevation is given by,

∅ = $sin^{-1}(0.1445) = 8.308 degrees$