Similar Triangles Using Distance Formula

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

• 8 feet

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

• 10 m

• 12 m

• 15 m

• 18 m

Triangle QRS was dilated using the dilation rule D_{P, 3}. What is the length of RR'?

• 9

• 6

• 3

• 12

What is the scale factor of the dilation of ΔABC to ΔA'B'C'?

• 1/3

• 1/4

• 3

• 4

• 
• 
• 
• 

Solve for f.

• 6

• 4

• 3

• 8

Find side length X.

• 16

• 18

• 2.4

• 15

Find side length X.

• 30

• 25

• 15

• 40

Find side length X.

• 22.5

• 10

• 9

• 7.5

Find side length X.

• 16

• 18

• 2.4

• 15