8.02 Quiz: Triangle Similarity 2

The triangles are similar. What is the value of x? Enter your answer in the box.

X = 13

A man throws a basketball from 30 in. above the ground. The basketball bounces off the floor and a boy catches it. The distance the ball traveled from the man to the floor is 45 in., and the distance the ball traveled from the floor to the boy is 40 in. The angles formed from by the basketball's path are congruent. What is the distance, x, from the floor that the boy caught the ball? Enter your answer, as a decimal, in the box. Round your answer to the nearest hundredth.

X = 26.67 inches

The triangles are similar. What is the value of x? Enter your answer in the box.

X = 4

Alex has two different size bookends for his bigger books and smaller books. What is the length of the diagonal distance, x, of his smaller bookend? Enter your answer, as a decimal, in the box.

X = 7.2 inches

What is AE? Enter your answer in the box

20 units