Question

A ramp represented by segment PQ in the figure below is used to load cargo on a truck. Maya wants to find the length of the ramp.

A right triangle PQR with the right angle at R and RQ as the base. Length of segment PR is 9 feet. S is a point on side PQ and T is a point on side RQ so that ST is parallel to PR. The length of SQ is 2 feet and the length of ST is 6 feet

What is the length of the ramp used?

3 feet
5 feet
15 feet
27 feet

Answer 1

use similar triangles to set up a proportion

Answer 2

\[\frac{9}{6}=\frac{x+2}{2}\]

Answer 3

\[x=3\]