In a right triangle, $sin θ = \frac{3}{5}$ and $θ$ is acute. Find $cos θ$ .

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In triangle $A B C$ , $A B = 3$ , $A C = 5$ and $∠ A = 12 0^{\circ}$ . Find $B C$ .
In triangle $A B C$ , $A B = 3$ , $A C = 8$ and $∠ A = 6 0^{\circ}$ . Find $B C$ .
Find the exact value of $sin 3 0^{\circ} + cos 6 0^{\circ}$ .
In a right triangle, $tan θ = \frac{5}{12}$ and $θ$ is acute. Find $sin θ$ .
From a point 20 m from the foot of a tower, the angle of elevation of its top is $3 0^{\circ}$ . How tall is the tower?
In triangle $A B C$ , $a = 10$ , $∠ A = 3 0^{\circ}$ and $∠ B = 4 5^{\circ}$ . Find $b$ .

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