In triangle $A B C$ , $A B = 3$ , $A C = 8$ and $∠ A = 6 0^{\circ}$ . Find $B C$ .

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In a right triangle, $sin θ = \frac{3}{5}$ and $θ$ is acute. Find $cos θ$ .
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In triangle $A B C$ , $a = 10$ , $∠ A = 3 0^{\circ}$ and $∠ B = 4 5^{\circ}$ . Find $b$ .