In right triangle XYZ with YXZ = 90 degrees, we have XY = 24 and YZ = 28. Find tan Y.
Y
28
24
X Z
XZ = sqrt [ YZ^2 - XY^2 ] = sqrt [ 28^2 - 24^2 ] = sqrt (208) = sqrt (16 * 13) = 4sqrt (13)
tan Y = XZ / XY = 4sqrt(13) / 24 = sqrt (13) / 6
