Question

Given △QRS ~ △XYZ, what is the value of tan(Q)?

Answer 1

Since the triangles are similar the ratios of the lengths of corresponding sides are equal.

tan Q = opp/adj = RS/QS = YZ/XZ = 9/12 = 3/4

Answer 2

The correct answer is

B. $\frac{3}{4}$

Given △QRS ~ △XYZ, the value of tan(Q) is $\frac{3}{4}$.

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