Shadow Proportions

Solve for x 

• x = 16

• x = 28

• x = 1/26

• x = 26

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

At the same time a 6 foot person casts a 2 foot shadow, a nearby flagpole casts a ten foot shadow.  How tall is the flagpole?

• 3 feet

• 10 feet

• 16 feet

• 30 feet

Solve for x 

5. A statue that is 12 ft tall casts a shadow that is 15 ft long. Find the length of the shadow that a 8 ft cardboard box casts

• 6.4 ft

• 10 ft

• 22.5 ft

• 12 ft

The height of a man standing next to a tree is 2/5 feet and cast a shadow of 2/7ft.  What is the length of the shadow of a tree that is 10ft tall?

• 7/50 ft

• 50/7 ft

• 100/7 ft

• 7/100 ft

Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is 28 degrees. How long would his shadow be? 

• 5.3 feet

• 2.8 feet

• 3.2 feet

• 11.3 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?

• 24 feet

• 21 feet

• 27 feet

• 32 feet

2) A 10 meter flag pole casts a shadow 5 meters. How long will the shadow be if the flag pole is 15 meters tall?

• 5 meters

• 7.5 meters

• 30 meters

• 75 meters

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

• 10 ft

• 12 ft

• 20 ft

• 18 ft