Question

Your towns public library is building a new wheelchair ramp to its entrance. By law the maximum angle of incline for the ramp is 4.76 degrees. The ramp will have a vertical rise of 2 ft. What is the shortest horizontal distance that the ramp can span?

Answer 1

I believe your answer should be D...

Answer 2

See the illustration attached

To find the horizontal distance, use trigonometry ratio (tan)
tan α =
`(opposite)/(adjacent)`

plug in the numbers
tan 4.76° =
`\frac{2}{\text{horizonal distance}}`
horizontal distance =
`\frac{2}{\text{tan 4.76}}`
horizontal distance =
`(2)/(0.083)`
horizontal distance = 24

The shortest horizontal distance is approximately 24 ft