Question

The wheel chair ramp at a local arena has a ramp length of 20 feet and a rise of 17 inches. What angle does the ramp make with the sidewalk? Round to the nearest tenth of degree.

Answer 1

58.2 degrees

Step-by-step explanation:

The given problem is illustrated using the diagram below:

The angle the ramp makes with the sidewalk is labeled x above.

Using trigonometry:

`\begin{gathered} \sin x=(17)/(20) \\ x=\arcsin ((17)/(20)) \\ x=58.2\degree \end{gathered}`

The angle the ramp makes with the sidewalk is 58.2 degrees.