Mathematics

Mathematics

Problem

△ABC\triangle ABC is right angled at BB with AB=6 cmAB = 6\,\text{cm} and BC=8 cmBC = 8\,\text{cm}. Let θ1\theta_1 be ∠A\angle A. △PQR\triangle PQR is right angled at QQ with PQ=9 cmPQ = 9\,\text{cm} and QR=12 cmQR = 12\,\text{cm}. Let θ2\theta_2 be ∠P\angle P. What is the value of sin⁡θ1sin⁡θ2\dfrac{\sin \theta_1}{\sin \theta_2}? a) 43\dfrac{4}{3} b) 11 c) 53\dfrac{5}{3} d) 34\dfrac{3}{4}

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