Question

A builder makes all of their ramps with a base to height ratio of 12 : 1 to be wheelchair-accessible. See the diagram below, which is not drawn to scale: d. 1 12 A certain ramp needs to cover a height of 0.8 meters. . 0.8 m What is the length of this ramp? Round your answer to the nearest hundredth of a meter. 4 of 5 100

Answer 1

Since the ratios are defined by proportional relationships, we can use proportional relationships to find the measre of the base, and then use pythagorean theorem to find l:

`\begin{gathered} (12)/(1)=(x)/(0.8) \\ x=0.8\cdot12 \\ x=9.6\text{ m} \end{gathered}`

The base of the triangle would be 9.6, now we can calcualte l by the pythagorean theorem:

`\begin{gathered} c^2=a^2+b^2 \\ l^2=0.8^2+9.6^2 \\ l=\sqrt[]{0.64+92.16} \\ l=\sqrt[]{92.8} \\ l\approx9.63 \end{gathered}`

The length of the ramp is 9.63 m