Answer: 31.18
Step-by-step explanation:
The problem is focused on mainly the right triangle made up of points M, Q, and R. This problem can be solved with the base formula, b = a · tan(β) where a = the length of line MR, β = m∠MQR, and b is the unknown length of RQ.
Given:
RQ = 18 · tan(60°)
Point M is the midpoint of line PM and line MR. Since MP is equal to 18, MR has to be 18 as well. This means that the value of a is 18.
The vertex of ∠MQR is Q, which is 60°.
Step 1: Find the tangent of 60°
The tangent of 60° is √3
Step 2: Solve
RQ = 18 · √3
18 · √3 = 31.18
RQ is equal to 31.18
