Proportions in Action: Indirect Measurement Challenge

A tree casts a shadow of 15 feet when a 5-foot tall person casts a shadow of 3 feet. How tall is the tree?

• 30 feet

• 25 feet

• 20 feet

• 10 feet

If a 12-foot ladder reaches a height of 10 feet on a wall, how high will a 16-foot ladder reach on the same wall?

• 12 feet

• 13.33 feet

• 10 feet

• 15 feet

A model car is 1/18 the size of a real car. If the real car is 12 feet long, how long is the model car?

• 1 foot

• 3/4 foot

• 2/3 feet

• 1/2 foot

Two similar triangles have sides in the ratio of 3:5. If the shorter triangle has a side measuring 9 cm, what is the length of the corresponding side in the larger triangle?

• 20 cm

• 18 cm

• 15 cm

• 12 cm

A 6-foot tall person can see over a fence that is 4 feet tall. If a 10-foot tall person stands at the same distance, how tall of a fence can they see over?

• 6 feet

• 5 feet

• 8 feet

• 7 feet

A map has a scale of 1 inch to 5 miles. If two cities are 3 inches apart on the map, how far apart are they in real life?

• 10 miles

• 20 miles

• 25 miles

• 15 miles

A 5-foot tall statue casts a shadow of 10 feet. If a nearby building casts a shadow of 50 feet, how tall is the building?

• 30 feet

• 25 feet

• 15 feet

• 40 feet

If a recipe calls for 2 cups of flour to make 12 cookies, how much flour is needed to make 30 cookies?

• 3 cups of flour

• 5 cups of flour

• 6 cups of flour

• 4 cups of flour

A 15-foot tall flagpole casts a shadow of 10 feet. If a nearby tree casts a shadow of 25 feet, how tall is the tree?

• 15 feet

• 20 feet

• 30 feet

• 37.5 feet

If a car travels 120 miles in 2 hours, how far will it travel in 5 hours at the same speed?

• 300 miles

• 240 miles

• 150 miles

• 180 miles