Question

Christian’s kite was stuck on top of a tree. To get it down, he used a 10-foot ladder and placed the bottom 6 feet away from the tree. Which of the following correctly uses a Pythagorean triple to find out how high the ladder reaches up the tree? (1 point)  

Responses
8 feet

6 feet

4 feet

11.7 feet

Answer 1

8 feet

Explanation: 6-8-10 is a Pythagorean triple, and sqrt(10^2 − 6^2) = sqrt(100 − 36) = sqrt(64) = 8.