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

Solution:

Given that the two triangles are similar.

So, the ratios of corresponding sides would be equal.

So, tan X= tanQ

From the trigonometric laws,

tan X= opposite side/ adjacent side

tan X = 9/12 = 3/4

Therefore, tan Q = 3/4.

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

Summary:

Given △QRS ~ △XYZ, the value of tan(Q) is 3/4.