Question

a ramp goes from a doorway of a building to the ground. the end of the ramp connected to the doorway is 1 foot above the ground. the distance along the ramp to the building is 5 feet. what is the angle of elevation of the ramp to the nearest degree? 1. 11. 0. 12.

Explanation:

Step1: Identify the trigonometric relationship

We know the opposite side (height of doorway above ground = 1 foot) and the hypotenuse (length along ramp = 5 feet) of a right - triangle formed by the ramp. We use the sine function, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$.
So, $\sin\theta=\frac{1}{5}= 0.2$.

Step2: Find the angle

We need to find $\theta$, and we know that $\theta=\sin^{- 1}(0.2)$.
Using a calculator, $\theta=\sin^{-1}(0.2)\approx12^{\circ}$.

Answer:

$12^{\circ}$