Question

Lydia wants to find the height of a flagpole. She measures the height of a tree and the length of the shadow it casts. The tree is 14 feet tall, and its shadow is 21 feet long. Next, Lydia measures the shadow cast by the flagpole, and finds it is 30 feet long. What is the height of the flagpole?

Answer 1

draw a diagram.

the two are similar bc of AAsimilarity

so 8.8 is to 4 as 22 is to x

basically the answer is 10 ft tall