Tangent ratios for and ∠P and ∠Q are:
tan P = 20/21
tan Q = 21/20
Option C is the right choice.
The tangent ratio of an angle is the ratio of the opposite side to the adjacent side. In the triangle shown in the image, the opposite side to angle P is 20 and the adjacent side is 21. Therefore, the tangent of angle P is:
tan P = 20/21
The tangent ratio of angle Q is the reciprocal of the tangent ratio of angle P, because angle Q and angle P are complementary angles. Therefore, the tangent of angle Q is:
tan Q = 1/tan P = 21/20
The correct answer is:
tan P = 20/21
tan Q = 21/20
Option C is the right choice.