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.

Respuesta :

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:

[tex]\theta = 8[/tex]

[tex]BC = 2.4[/tex]

Required

Find z

To find z, we make use of sine formula:

[tex]sin\theta = \frac{BC}{z}[/tex]

Make z the subject

[tex]z= \frac{BC}{sin\theta }[/tex]

So:

[tex]z= \frac{2.4}{sin(8)}[/tex]

[tex]z= \frac{2.4}{0.1392}[/tex]

[tex]z= 17.2ft[/tex]

The length is at least 17.2 feet

Ver imagen MrRoyal