A2 Similarity with overlapping and indirect measurement

A lighthouse casts a 128-foot shadow. A nearby lamppost that measures 5 feet 3 inches casts an 8-foot shadow. What is the height of the lighthouse?

Note: Just enter your answer as a number - no units

A fire hydrant 2.5 feet high casts a 5-foot shadow. How tall is a street light that casts a 26-foot shadow at the same time? Let h represent the height of the street light.

How tall is the building?

A surveyor used the above map to find the distance across Lake Okeechobee. Find the distance across Lake Okeechobee.

Note: Just enter your answer as a number - no units

Solve for X

• 7.5
• 4.8
• 13.33
• 5

• 28.8 feet

• 500 feet

• 45 feet

• 0.002 feet

Solve for x.

• 8
• 6
• 5
• -8

Solve for x. The polygon in each pair are similar.

• 11

• 9

• 5

• 6

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

Solve for the variable x.

• x = 8.5
• x = 10
• x = 1
• x = 2