Question

Find the tangent of ∠R.
56
65
R
S
T
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan(R)=

Answer 1

If the hypotenuse is 65 and one leg is 56, the other leg is sqrt(65^2 − 56^2) = sqrt(4225 − 3136) = sqrt(1089) = 33. For angle R the opposite leg is 33 and the adjacent is 56, so

tan(R) = 33/56.