The given triangle is a right angle triangle. Taking U as the reference angle,
opposite side = VW = 11
hypotenuse = UV = 61
Adjacent side = UW = 60
We would determine the tangent of angle U by applying the tangent trigonometric ratio which is expressed as
Tan# = opposite side/adjacent side
Thus,
Tan U = 11/60
Recall, Cotangent = 1/tangent
Thus,
Cotangent of angle U = 1/(11/60)
If we flip 11/60 such that it becomes 60/11, the division sign would change to multiplication. Thus, we have
Cotangent of angle U = 1 x 60/11
Cotangent of angle U = 60/11
The ratio is 60/11