Similar Triangle Word Problem

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

• x = 19 cm

• x = 24 cm

• x = 3 cm

• x = 16.5 cm

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

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

• 80 feet

• 320 feet

• 40 feet

• 160 feet

Find missing side

• 5

• 7

• 9

• 11

Solve for X

• X = 2

• X = 4

• X = 8

• X = 32

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

• 6.25
• 5.5
• 6
• 5.75

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

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