Solving Similar Triangle Problems with Ratios

A 5-foot tall person casts a shadow of 3 feet. If a tree casts a shadow of 12 feet, how tall is the tree?

• 20 feet

• 15 feet

• 10 feet

• 25 feet

Two similar triangles have sides in the ratio of 2:3. If the shorter triangle has a side measuring 8 cm, what is the length of the corresponding side in the larger triangle?

• 14 cm

• 16 cm

• 10 cm

• 12 cm

A model of a building is 4 feet tall and casts a shadow of 10 feet. If the actual building casts a shadow of 25 feet, how tall is the actual building?

• 10 feet

• 20 feet

• 15 feet

• 5 feet

In a park, a 6-foot tall statue casts a shadow of 4 feet. If a nearby lamp post casts a shadow of 10 feet, how tall is the lamp post?

• 15 feet

• 20 feet

• 8 feet

• 12 feet

A triangle has sides measuring 5 cm, 12 cm, and 13 cm. If a similar triangle has its longest side measuring 20 cm, what is the length of the shortest side?

• 10 cm

• 5 cm

• 7.69 cm

• 15 cm

A 3-foot tall plant casts a shadow of 2 feet. If a nearby fence casts a shadow of 8 feet, how tall is the fence?

• 14 feet

• 12 feet

• 6 feet

• 10 feet

Two similar triangles have a ratio of 1:4. If the perimeter of the smaller triangle is 15 cm, what is the perimeter of the larger triangle?

• 60 cm

• 75 cm

• 45 cm

• 30 cm

A 10-foot tall building casts a shadow of 15 feet. If a nearby tree casts a shadow of 30 feet, how tall is the tree?

• 15 feet

• 25 feet

• 35 feet

• 20 feet

A triangle has a base of 6 cm and a height of 8 cm. If a similar triangle has a base of 12 cm, what is the height of the similar triangle?

• 10 cm

• 14 cm

• 12 cm

• 16 cm

A 4-foot tall person stands next to a flagpole that casts a shadow of 10 feet. If the flagpole casts a shadow of 25 feet, how tall is the flagpole?

• 5 feet

• 10 feet

• 20 feet

• 15 feet