Question

Given: △PQR, m∠R = 90°, MP = 18 m∠PQR = 75°, m∠MQR = 60° Find: RQ

Answer 1

Answer:

RQ = 9

Step-by-step explanation:

We know that,

tan θ = Perpendicular/ Base

In ΔMRQ, tan 60 = MR / RQ => 1.732 RQ = MR

In ΔPRQ, tan 75 = PR/PQ = (18+MR)/RQ => 3.732 RQ = 18 +MR

Finding the difference between the above two equations, we have

2 RQ = 18

RQ = 18/2 =9

∴ RQ = 9