Exploring Ratios: Shadows of Similar Figures

A tree casts a shadow that is 12 feet long. If a nearby lamp post is 18 feet tall, how long will its shadow be if it is similar to the tree's shadow?

• 30 feet

• 27 feet

• 15 feet

• 20 feet

A 5-foot tall person casts a shadow that is 3 feet long. If a 10-foot tall statue casts a shadow, how long will it be if the figures are similar?

• 6 feet

• 10 feet

• 8 feet

• 4 feet

A 4-foot tall plant casts a shadow of 2 feet. If a 10-foot tall plant is nearby, how long will its shadow be if they are similar?

• 3 feet

• 8 feet

• 6 feet

• 5 feet

A building is 30 feet tall and casts a shadow of 15 feet. If a smaller building is 20 feet tall, how long will its shadow be?

• 5 feet

• 10 feet

• 20 feet

• 15 feet

A 6-foot tall person casts a shadow of 4 feet. If a 9-foot tall person stands next to them, how long will their shadow be?

• 7 feet

• 6 feet

• 5 feet

• 8 feet

A flagpole is 25 feet tall and casts a shadow of 10 feet. If a smaller pole is 15 feet tall, how long will its shadow be?

• 12 feet

• 8 feet

• 10 feet

• 6 feet

A 3-foot tall dog casts a shadow of 1.5 feet. If a 9-foot tall giraffe is nearby, how long will its shadow be if they are similar?

• 3 feet

• 4.5 feet

• 6 feet

• 2.5 feet

A 12-foot tall tree casts a shadow of 8 feet. If a 6-foot tall tree is next to it, how long will its shadow be?

• 4 feet

• 10 feet

• 8 feet

• 6 feet

A 15-foot tall building casts a shadow of 10 feet. If a 5-foot tall person stands next to it, how long will their shadow be?

• 3.33 feet

• 5 feet

• 7.5 feet

• 10 feet

A 10-foot tall statue casts a shadow of 5 feet. If a 20-foot tall statue is nearby, how long will its shadow be if they are similar?

• 10 feet

• 5 feet

• 15 feet

• 20 feet