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

Answer:

The length of the ramp is at least 17.2 feet

Step-by-step 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:

$sin\theta = \frac{BC}{z}$

Make z the subject

$z= \frac{BC}{sin\theta }$

So:

$z= \frac{2.4}{sin(8)}$

$z= \frac{2.4}{0.1392}$

$z= 17.2ft$

The length is at least 17.2 feet