Question

Suppose a new regulation that a maximum angle of a ramp for a wheelchairs is 8°. At least how long must the new ramp be? Round to the nearest tenth of a foot.

Answer 1

The length of the ramp is at least 17.2 feet

Explanation:

See attachment for the appropriate diagram.

The length of the ramp is represented with z

So, we have:

`\theta = 8`

`BC = 2.4`

Required

Find z

To find z, we make use of sine formula:

`sin\theta = (BC)/(z)`

Make z the subject

`z= (BC)/(sin\theta )`

So:

`z= (2.4)/(sin(8))`

`z= (2.4)/(0.1392)`

`z= 17.2ft`

The length is at least 17.2 feet