Question

Find the tangent of ∠Z.
32
60
68
Z
X
Y
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan(Z)=

Answer 1

The side lengths 32, 60, 68 form a right triangle (32^2 + 60^2 = 68^2), so the right angle is at X. For angle Z the opposite side is 60 and the adjacent (leg) is 32. Thus

tan(Z) = 60/32 = 15/8.