In triangle RST, angle S is a right angle and cdc R=13/12. What is Tan T?

answers: 13/5, 12/13, 12/5, 5/12

1 answer

csc R = 13/12 = 1/sin R
1/Sin R = 13/12
sin R = 12/13 = Y/r.

X^2 + Y^2 = r^2
X^2 + 12^2 = 13^2
X^2 = 13^2 - 12^2 = 25
X = 5.

Tan T = Y/X = 12/5