xavier wants to use a sheet of fiberboard 19 ...
xavier wants to use a sheet of fiberboard 19 inches long to create a skateboard ramp with a height of 5.75 inches at its highest end. find the angle of elevation made by the ramp with the ground. round your answer to the nearest tenth of a degree.
Answer
# Explanation:
## Step1: Identify the trig - function
We know the opposite side ($y = 5.75$ inches) and the hypotenuse ($c=19$ inches) of a right - triangle formed by the ramp, the ground, and the vertical height. We use the sine function $\sin\theta=\frac{y}{c}$.
## Step2: Calculate the sine of the angle
Substitute $y = 5.75$ and $c = 19$ into the sine formula: $\sin\theta=\frac{5.75}{19}\approx0.3026$.
## Step3: Find the angle
To find the angle $\theta$, we take the inverse sine of $0.3026$. So, $\theta=\sin^{- 1}(0.3026)$. Using a calculator, $\theta\approx17.6^{\circ}$.
# Answer:
$17.6^{\circ}$