Shadow Proportions

A hiker want to determine the height of a cliff. She has measured her height (5.8ft) and shadow (7ft). She knows the cliff casts a shadow of 50ft. How tall is the cliff?

(Hint: combine the two numbers to get the large triangle base)

• 41.4ft

• 31.6ft

• 35.6ft

A 8 ft tall tent standing next to a lawn ornament casts a 4 ft shadow. If the lawn ornament is 6 ft tall, then how long is its shadow?

• 3 ft

• 16 ft

• 12 ft

• 2 ft

If a 18 ft tall statue casts a 12 ft long shadow, then how long is the shadow that a 3 ft tall baby elephant casts?

• 1 ft

• 2 ft

• 5 ft

• 8 ft

A telephone booth that is 8ft tall casts a shadow that is 4ft long. Find the height of a lawn gnome that casts a 2ft shadow.

• 2 ft

• 4 ft

• 6 ft

• 8 ft

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet long. How tall is a man who can cast a shadow that is 14 feet long?

• 4 feet tall

• 6 feet tall

• 1.5 feet tall

• 2 feet tall

The pair of figures is similar. Find the missing side.

• x = 12

• x = 3

• x = 40

• x = 4

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

Solve the proportion.

• k=5

• k=3.3333333

• k=60

• k=90

Solve the proportion:

• 4

• 8

• 14

• 10