Similar Triangle Word Problems

If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?

• 41.7 ft

• 36.6 ft

• 34.6 ft

• 38.8 ft

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 picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 63 in., what is the length of the banner?

• 84 in

• 71 in

• 47.25 in

• 80

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

If two triangles are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

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

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

• Congruent

• Vertical

• Similar

• Complementary 

Find missing side

• 5

• 7

• 9

• 11

Solve for X

• X = 2

• X = 4

• X = 8

• X = 32