Question

A builder makes all of their ramps with a base to height ratio of 12:112:112, colon, 1 to be wheelchair-accessible. See the diagram below, which is not drawn to scale:

Answer 1

9.63 metres

Explanation:

The base to height ratio =12:1

From the given ramp, Base to Height Ratio =Base:0.8

Therefore:

12:1=Base:0.8

`(12)/(1)=(Base)/(0.8) \\Base =12 X 0.8=9.6m`

To find the length of the ramp, we apply Pythagoras theorem in the right triangle formed.

Length of the ramp ,l

`=√(9.6^2+0.8^2) \\l=9.63\:metres`