Question

If OP = 22, PQ = 20, and ST = 55, find the length of R.S.

Round your answer to the nearest tenth if necessary. Figures are not
necessarily drawn to scale.
47°
54°
79°
P
Answer: RS =
T
54
Submit Answer
79°
R
S
attempt 1 out of 2

Answer 1

60.5

Explanation:

The triangles are similar by angle-angle. Since corresponding sides of similar triangles have proportional side lengths,

`(RS)/(22)=(55)/(20) \\ \\ RS=60.5`