Question

A wheelchair access ramp has an angle of elevation of 24 degrees. If the ramp reaches to the top of a 30 inch high porch, how long is the ramp?

Answer 1

73.76 inches

Step-by-step explanation:

We can form a right triangle based on the given problem.

To find the length(L) of the ramp, we use the formula:

`\sin \theta=\frac{opposite}{\text{hypotenuse}}`

We plug in what we know.

`\begin{gathered} \\ \sin \theta=\frac{opposite}{\text{hypotenuse}} \\ \sin 24=(30)/(L) \\ \text{Simplify } \\ L=(30)/(\sin 24) \\ \text{Compute} \\ L=73.76\text{ inches} \end{gathered}`

Therefore, the lenght of the ramp is 73.76 inches.