Exploring Ratios and Scale in Real-World Problems

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

• 10 feet

• 20 feet

• 5 feet

• 15 feet

A model of a car is built at a scale of 1:20. If the model is 6 inches long, how long is the actual car?

• 60 inches

• 120 inches

• 240 inches

• 100 inches

A 10-foot pole casts a shadow of 25 feet. How long would a 4-foot pole cast a shadow?

• 15 feet

• 20 feet

• 10 feet

• 5 feet

A map has a scale of 1 inch to 5 miles. If two cities are 3 inches apart on the map, what is the actual distance between them?

• 10 miles

• 15 miles

• 20 miles

• 5 miles

A photographer uses a camera with a lens that is 50mm. If the image of a building is 200mm wide in the photo, how wide is the actual building?

• 4000mm or 4m

• 2000mm or 2m

• 500mm or 0.5m

• 1000mm or 1m

A rectangular garden is 12 feet long and 8 feet wide. If you want to create a scale drawing that is 1:4, what will be the dimensions of the drawing?

• 4 feet by 3 feet

• 2 feet by 1.5 feet

• 3 feet by 2 feet

• 6 feet by 4 feet

A 6-foot tall person is standing next to a building. If the building is 30 feet tall, what is the ratio of the person's height to the building's height?

• 2/5

• 1/4

• 1/5

• 1/6

A scale model of a spaceship is 2 feet long. If the actual spaceship is 60 feet long, what is the scale factor of the model?

• 30

• 25

• 15

• 45

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

• 10 feet

• 8 feet

• 15 feet

• 13 feet

A swimming pool is 25 meters long and 10 meters wide. If you want to create a scale model that is 1:10, what will be the dimensions of the model?

• Length: 5 meters, Width: 2 meters

• Length: 2 meters, Width: 0.5 meters

• Length: 3 meters, Width: 1.5 meters

• Length: 2.5 meters, Width: 1 meter