Question

A wheelchair ramp is built so that it spans a horizontal length of 18 feet and a vertical rise of 1.5 feet. What is the angle of incline of the ramp, rounded to the nearest hundredth of a degree?

Answer 1

In order to find the angle θ we will use a trigonometric function, in this case, is the tangent

`\tan (\theta)=(OS)/(AS)`

in this case

OS=1.5 ft

AS=18 ft

then we substitute the values

`\tan (\theta)=(1.5)/(18)`

then we isolate θ

`\theta=\tan ^(-1)((1.5)/(18))`
`\theta=4.76`

the correct answer is A