Question

latonya builds a ramp with a slope of \\(\frac{3}{5}\\). the horizontal length of the ramp is 15 feet. what is the height of the ramp?
a 3 feet
b 5 feet
c 9 feet
d 12 feet

Explanation:

Step1: Recall slope formula

Slope $m = \frac{\text{rise (height)}}{\text{run (horizontal length)}}$. Given $m = \frac{3}{5}$ and run $= 15$ feet. Let height be $h$. So $\frac{3}{5} = \frac{h}{15}$.

Step2: Solve for h

Cross - multiply: $5h = 3\times15$. Then $5h = 45$. Divide both sides by 5: $h=\frac{45}{5}=9$ feet.

Answer:

c. 9 feet