Triangle VUW is similar to triangle SUT. (VUW~SUT)
Find the length of UV.

Answer:
UV=66
Step-by-step explanation:
We can use ratios to solve this problem
UV VW
------------ = ---------------
SU ST
Substituting what we know
UV 88
------------ = ---------------
18 24
Using cross products
(UV)*24 = 18*88
Divide each side by 24
(UV)*24/24 = 18*88/24
UV =66
This is the length of UV