Shadow Proportions

To find the height of a very tall pine tree, you measure your shadow and the tree's shadow. How tall is the tree?

(Hint: the base of the larger triangle is 2+24)

• 144 feet

• 72 feet

• 36 feet

The flag pole is 6 feet tall with a shadow of 10 feet. Using proportions, how tall is the pine tree?

(Hint: remember to combine the two bases to find the base of the large triangle)

• 10 ft

• 12 ft

• 20 ft

• 18 ft

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 

An adult elephant that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a statue that casts a 9 ft shadow.

• 36 ft 
• 2 ft 
• 16 ft 
• 18 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

At the same time a 6 foot person casts a 2 foot shadow, a nearby statue casts a ten foot shadow. How tall is the statue? Hint: drawing a picture might help visualize the problem to set up a proportion.

• 3 feet

• 10 feet

• 16 feet

• 30 feet

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