Applications of Similar Triangles

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

• 4 ft

• 2 ft

• 8 ft

• 6ft

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

A building casts a shadow that is 50 meters long. At the same time, a 4-meter tall person standing nearby casts a shadow that is 2 meters long. How tall is the building?

• 25

• 100

• 50

• 75

A tree casts a shadow that is 12 meters long. At the same time, a 2-meter tall person standing nearby casts a shadow that is 1.5 meters long. How tall is the tree?

• 14

• 8

• 10

• 16

A flagpole casts a shadow that is 15 meters long. At the same time, a 3-meter tall person standing nearby casts a shadow that is 2 meters long. How tall is the flagpole?

• 22.5

• 18

• 12

• 10

A ladder is leaning against a wall. The ladder is 5 meters long and the base of the ladder is 3 meters away from the wall. How high up the wall does the ladder reach?

• 4 meters

• 2 meters

• 10 meters

• 6 meters

A building casts a shadow that is 30 meters long. At the same time, a 2-meter tall person standing nearby casts a shadow that is 1.5 meters long. How tall is the building?

• 35

• 25

• 20

• 40

A tree casts a shadow that is 20 meters long. At the same time, a 4-meter tall person standing nearby casts a shadow that is 3 meters long. How tall is the tree?

• 26.67

• 16.67

• 30

• 10

A flagpole casts a shadow that is 10 meters long. At the same time, a 2-meter tall person standing nearby casts a shadow that is 1 meter long. How tall is the flagpole?

• 5

• 15

• 20

• 25

A building casts a shadow that is 40 meters long. At the same time, a 5-meter tall person standing nearby casts a shadow that is 2.5 meters long. How tall is the building?

• 80

• 100

• 20

• 60