Similar Figure Word Problems

Solve for X.

• 2 ft
• 3 ft
• 4 ft
• 6 ft

A 6 foot tall man casts a shadow that is 9 feet long. He is standing next to a child who casts a shadow 6 feet long. How tall is the child?

• 3 ft

• 4 ft

• 2.5 ft

• 4.5 ft

Tags

CCSS.HSG.SRT.B.4

A statue that is 12 ft tall casts a shadow that is 15 feet long. Find the length of the shadow of a 4 foot tall bird bath that is next to the statue.

• 45 ft

• 3.2 ft

• 4 ft

• 5 ft

Tags

CCSS.HSG.SRT.A.2

If a 50 foot tall flagpole casts a shadow that is 200 feet long, how long is the shadow of a 5 foot tall person who is standing next to the flagpole?

• 20 ft

• 12 ft

• 25 ft

• 30 ft

A model building is 9 cm wide. If it was built with a scale of 3cm: 4m then how wide is the real building?

• 16 m

• 36 m

• 12 m

• 27m

A 15 foot tall giraffe casts a shadow that is 4 feet long. If a tree next to the giraffe casts a shadow that is 12 feet long, how tall is the tree?

• 48 feet

• 60 feet

• 200 feet

• 45 feet

Tags

CCSS.HSG.SRT.B.4

Los Angeles and San Francisco are 380 miles from each other. How far apart would the cities be on a map that has a scale of 4 in : 95 mi?

• 20 in

• 15 in

• 16 in

• 19 in

Tags

CCSS.7.G.A.1

The Empire State Building is 1250 feet tall and casts a shadow that is 100 feet long. How tall is a street sign that is next to the building if it casts a shadow that is .5 feet long?

• 6.25 ft

• 8 ft

• 7.5 ft

• 7.75 ft

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

Find the height of the tree.

• 8 ft
• 12 ft
• 13 ft
• 15 ft