Indirect Measurement: Using Ratios to Find Heights

A tree casts a shadow of 15 feet. If a 5-foot tall person stands next to it, how tall is the tree?

• 20 feet

• 10 feet

• 15 feet

• 5 feet

Tags

CCSS.7.G.A.1

A ladder leans against a wall, reaching a height of 12 feet. If the base of the ladder is 5 feet from the wall, how long is the ladder?

• 10 feet

• 15 feet

• 13 feet

• 11 feet

Tags

CCSS.8.G.B.8

A 10-foot tall building casts a shadow of 20 feet. If a nearby lamp post casts a shadow of 5 feet, how tall is the lamp post?

• 1 foot

• 4 feet

• 2.5 feet

• 3 feet

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Two friends are standing 30 feet apart. They want to measure the height of a flagpole using their shadows. If their shadows are 10 feet and 15 feet long, how tall is the flagpole?

• 15 feet

• 12 feet

• 6 feet

• 9 feet

Tags

CCSS.HSG.SRT.B.4

A 6-foot tall person casts a shadow of 4 feet. If a nearby statue casts a shadow of 12 feet, how tall is the statue?

• 15 feet

• 10 feet

• 24 feet

• 18 feet

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A 15-foot tall tree casts a shadow of 30 feet. If a 3-foot tall child stands next to it, how long is the child's shadow?

• 6 feet

• 12 feet

• 15 feet

• 3 feet

Tags

CCSS.HSG.SRT.A.2

A building is 40 feet tall and casts a shadow of 50 feet. If a nearby fence casts a shadow of 10 feet, how tall is the fence?

• 5 feet

• 12 feet

• 15 feet

• 8 feet

Tags

CCSS.HSG.SRT.B.4

A 5-foot tall person stands 10 feet away from a wall. If the wall casts a shadow of 20 feet, how tall is the wall?

• 15 feet

• 5 feet

• 10 feet

• 25 feet

Tags

CCSS.HSG.SRT.B.4

A 12-foot tall flagpole casts a shadow of 16 feet. If a nearby 4-foot tall bench casts a shadow of 8 feet, how tall is the bench?

• 6 feet

• 4 feet

• 8 feet

• 10 feet

Tags

CCSS.HSG.SRT.B.4

A 20-foot tall water tower casts a shadow of 25 feet. If a 5-foot tall person stands next to it, how long is the person's shadow?

• 8 feet

• 15 feet

• 6.25 feet

• 10 feet

Tags

CCSS.HSG.SRT.B.4