Estimating Heights: Indirect Measurement with Ratios

A tree casts a shadow of 15 feet. If a 5-foot tall person stands next to it and casts a shadow of 3 feet, estimate the height of the tree using ratios.

• 20 feet

• 18 feet

• 25 feet

• 30 feet

Tags

CCSS.7.RP.A.3

A flagpole casts a shadow of 10 meters. If a 1.5-meter tall person casts a shadow of 0.5 meters, estimate the height of the flagpole using indirect measurement.

• 15 meters

• 30 meters

• 25 meters

• 40 meters

Tags

CCSS.HSG.SRT.C.8

A 12-foot ladder leans against a wall, reaching a height of 10 feet. If the base of the ladder is 6 feet from the wall, estimate the angle of elevation of the ladder.

• 59.04 degrees

• 45.00 degrees

• 75.00 degrees

• 30.00 degrees

Tags

CCSS.HSG.SRT.C.8

A 30-foot tall water tower casts a shadow of 15 feet. If a 5-foot tall child casts a shadow of 2 feet, how can you estimate the height of the water tower?

• 25 feet

• 37.5 feet

• 15 feet

• 50 feet

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A 20-foot tree casts a shadow of 8 feet. If a 4-foot tall dog casts a shadow of 1.6 feet, estimate the height of the tree using ratios.

• 10 feet

• 20 feet

• 25 feet

• 15 feet

Tags

CCSS.6.RP.A.3B

A 50-foot tall building casts a shadow of 25 feet. If a 5-foot tall person casts a shadow of 2.5 feet, how can you find the height of the building?

• 25 feet

• 5 feet

• 50 feet

• 10 feet

Tags

CCSS.6.RP.A.3B

A 15-foot tall statue casts a shadow of 5 feet. If a 3-foot tall child casts a shadow of 1 foot, estimate the height of the statue using indirect measurement.

• 20 feet

• 15 feet

• 10 feet

• 12 feet

Tags

CCSS.HSG.SRT.C.8

A 40-foot tall flagpole casts a shadow of 20 feet. If a 4-foot tall person casts a shadow of 2 feet, how can you estimate the height of the flagpole?

• 50 feet

• 40 feet

• 25 feet

• 30 feet

Tags

CCSS.6.RP.A.3B

A 25-foot tall tree casts a shadow of 10 feet. If a 5-foot tall person casts a shadow of 2 feet, estimate the height of the tree using ratios.

• 10 feet

• 5 feet

• 15 feet

• 20 feet

Tags

CCSS.7.RP.A.3