Solving Similar Triangles Application

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

A tree 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 tree?

• 22.5

• 18

• 12

• 10

A flagpole 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 meter long. How tall is the flagpole?

• 24

• 36

• 6

• 18

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 18 meters long. At the same time, a 3-meter tall person standing nearby casts a shadow that is 1.5 meters long. How tall is the tree?

• 9

• 6

• 12

• 36

• 1:3

• 3

• 2:3

• 3:2

• 7

• 12

• 6

• 4

Find the value of X.

• 4

• 6

• 12

• 7

Use the information in the diagram to determine the height of the tree.

• 80 feet

• 320 feet

• 40 feet

• 160 feet