Similar Triangles Applications

A telephone booth that is 8 ft tall casts a shadow that is 4 ft long.  Find the height of a lawn ornament that casts a 2 ft shadow.

• 4 ft

• 2 ft

• 8 ft

• 6ft

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?

• 9 m

• 15.2 m

• 12 m

• 17.5 m

Read the problem and find the missing measurement.  Use labels or pictures to help set up the problem.
A home's height is 40 ft. and casts a shadow that is 12 ft..  A car in the driveway is 10 ft. high.  How long is the car's shadow?

• x = 3 ft.

• x = 12 ft.

• x = 120 ft.

• none of the above

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

• 8
• 9.5
• 10
• 10.5

Use the information in the diagram to determine the height of the tree.

• 80 feet

• 320 feet

• 40 feet

• 160 feet

What is the ratio of the side lengths?

• 2.5

• 1.5

• 2

• 1.25

• 205
• 105
• 230
• 135

• 7

• 12

• 6

• 4

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• AA

• SSS

• SAS

• Not similar