Question

a ramp goes from a doorway of a building to the ground. the end of the ramp connected to the doorway is 2 feet above the ground. the horizontal distance from the bottom of the ramp to the building is 15 feet. what is the angle of elevation of the ramp to the nearest degree? 0° 82° 7° 8°

Explanation:

Step1: Identify the trig - ratio

We know the opposite side ($y = 2$ feet) and the adjacent side ($x=15$ feet) of the right - triangle formed by the ramp, the building, and the ground. We use the tangent function $\tan\theta=\frac{y}{x}$.

Step2: Calculate the tangent value

$\tan\theta=\frac{2}{15}\approx0.1333$.

Step3: Find the angle

We use the inverse - tangent function $\theta=\tan^{- 1}(0.1333)$. Using a calculator, $\theta=\tan^{-1}(0.1333)\approx7.59^{\circ}\approx8^{\circ}$.

Answer:

8°