a wheelchair ramp with a length of 109 inches has a horizontal distance of 91 inches. what is the ramps vertical distance? the vertical distance of the ramp is 60 square inches. inches.

Question

Accepted Answer

# Explanation:
## Step1: Apply Pythagorean theorem
The Pythagorean theorem states that for a right - triangle $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse (the length of the ramp, $c = 109$ inches) and $a$ is the horizontal distance ($a=91$ inches), and $b$ is the vertical distance ($b = x$). So, $x^{2}+91^{2}=109^{2}$.
## Step2: Rearrange the formula to solve for $x$
$$
\begin{align*}
x^{2}&=109^{2}-91^{2}\
x^{2}&=(109 + 91)(109 - 91)\
x^{2}&=(200)\times(18)\
x^{2}&=3600\
x&=\sqrt{3600}\
x& = 60
\end{align*}
$$

# Answer:
The vertical distance of the ramp is $60$ inches.

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QUESTION IMAGE

Question

Explanation:

Step1: Apply Pythagorean theorem

Step2: Rearrange the formula to solve for \(x\)

Answer: