Similar Triangle Word Problems

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

• 80 feet

• 320 feet

• 40 feet

• 160 feet

Tags

CCSS.HSG.SRT.B.5

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

Tags

CCSS.HSG.SRT.B.5

• 15
• 13
• 11
• 17

Tags

CCSS.HSG.SRT.C.8

Solve for f.

• 6

• 4

• 3

• 8

Tags

CCSS.HSG.CO.C.9

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

Tags

CCSS.HSG.SRT.A.2

Find side length X.

• 22.5

• 10

• 9

• 7.5

Tags

CCSS.HSG.SRT.A.2

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

• 10

• 12

• 15

• 18

Tags

CCSS.HSG.SRT.B.4

ONLY ANSWER PART C

(a)  

Tags

CCSS.HSG.SRT.B.5

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft

Tags

CCSS.HSG.SRT.B.5

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?

• 9 m

• 15.2 m

• 12 m

• 17.5 m

Tags

CCSS.HSG.SRT.B.4