Similar Figures and Word Problems

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree’s shadow is 32 feet long. What is the height of the tree?

• 20 ft

• 24 ft

• 29 ft

• 51 ft

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

• 12 feet

• 16 feet 

• 10 feet

• 4 feet

• 7

• 2

• 252

• 63

What is the height of the flagpole?

• 6 ft

• 9 ft

• 12 ft

• 15 ft

A 4-meter-tall flagpole casts a 6-meter shadow at the same time that a nearby building casts a 24-meter shadow. What is the height of the building?

• 4 m

• 8 m

• 12 m

• 16 m

At the same time a 6 foot person casts a 2 foot shadow, a nearby flagpole casts a ten foot shadow. How tall is the flagpole?

• 10 ft

• 30 ft

• 15 ft

• 20 ft

Find y.

• 144

• 18

• 72

• 12

Click to see image.

• A

• B

• C

• D

These two triangles are similar. Going from left (EFD) to right (FKJ), what is the scale factor?

• 2

• 4

• 2/3

• 1/4

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3