Solving Similar Right Triangles

Find the height of the tree.

To find the clearance under an overpass, you need to find the height of a concrete support beam. You use a cardboard square to line up the top and bottom of the beam. Your friend measures the vertical distance from you to the beam. What is the approximate height of the beam?

• 9.5 feet

• 47.6 feet

• 3.6 feet

• 14.5 feet

• 8.6 feet

Find the value of y.

• 6

• 108

• 3

In the diagram, AC = 25 and BC = 13. Find AD. Round to the nearest tenth.

• 18.2

• 16.9

• 13

• 6.8

• 15.5

Find the value of x.

• 49

• 85

• 121

• 140.3

• 44.6

Find the value of w and x.

• w = 16, y = 2

• w = 2, y = 17

• w = 3, y = 15

• w = 2, y = 18

• w = 2, y = 16

Find the value of x.

• 21

• 3

• 81

• 9

• 18

• 5

• 4

• 29

• 60 feet

• 16.6 feet

• 3.6 feet

• 15.6 feet

• 10.3 feet

Solve for x. Round to the nearest tenth.

• 13.6

• 9.4

• 10.9

• 18.1