Nested Triangles

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.CO.C.10

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the measure of x?

• 12
• 15
• 6
• 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

The triangles are similar, solve for the question mark.

• 8
• 12.5
• 18
• 24

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

What is the height of the tree?

• 10m

• 15m

• 20m

• 25m

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

Solve for f.

• 6
• 4
• 3
• 8

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the height of the tree?

• 60 ft.

• 55 ft.

• 10 ft.

• 100 ft.

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the value of x.

• 6.92
• 18.67
• 2.625
• 13.71

Tags

CCSS.HSA.CED.A.1

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

What is the length of side x?

• 5 cm

• 7.2 cm

• 6.5 cm

• 5.5 cm

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11