Similar Triangles Applications

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 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

Which statement about the triangles at the right is true?

• ABC is similar to ADF

• ∠BAC is not congruent to ∠DAF

• ABC is congruent to ADF

• ABC is not similar to ADF

x =?

• 7

• 10

• 12

• 14

What similarity theorem would prove that these triangles are similar?

• SAS∼

• SSS∼

• AA∼

• Side Splitter

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