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