If a 30​-foot tree casts an 18​-foot ​shadow, find the length of the shadow cast by a 22 dash foot tree.

Let's set up a proportion to solve this problem:

Tree height / Tree shadow length = Other tree height / Other tree shadow length

30 / 18 = 22 / x

Cross multiply:

30x = 18 * 22
30x = 396
x = 396 / 30
x = 13.2

Therefore, the length of the shadow cast by a 22-foot tree is 13.2 feet.