Question

Solve this pls. WILL AWARD BRAINLIEST TO BEST ANSWER!!!!!

Answer 1

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