Similar Triangles Shadows

Solve for x, y, and z using the similar figures.

• x = 16, y = 32, z = 40

• x = 16/3, y = 6, z = 15/2

• x = 3, y = 32/3, z = 40/3

• x = 4/3, y = 8/3, z = 10/3

There is a 7.6-meter pole that casts a shadow that is 6.1 meters long. At the same time, a nearby office building casts a shadow that is 15.8 meters long. What is the height of the office building? (HINT: Draw a picture!)

• 19.7 meters

• 12.4 meters

• 15.6 meters

• 21.4 meters

Sam is on the beach and wants to know how tall a palm tree is. She lines up her shadow with the tip of the palm tree's shadow as shown below. What is the height of the tree?

• 14 meters

• 12 meters

• 16 meters

• 18 meters

• 8.25 m

• 6.08 m

• 7.68 m

• 7.21 m

A man is using his shadow to find the height of a tree in the forest. He lines up the tip of his shadow with the tip of the tree's and recorded distances shown below. What is the height of the tree?

• 21.8 ft

• 23.8 ft

• 25.8 ft

• 27.8 ft

You are trying to find the height of a nearby building. There is a 15 foot telephone pole nearby. The tips of the shadows align perfectly. The telephone pole is 60 feet from the building. The telephone pole's shadow is 25 feet. How tall is the building?

• 48 ft

• 49 ft

• 50 ft

• 51 ft

Given that the two triangles are similar. Solve for x.

• x=4.6

• x=4.2

• x=1.5

• x=1.8

Given that the two triangles are similar, solve for y.

• y=11.8

• y=9.5

• y=13.6

• y=15.1

Given that the two triangles are similar, solve for x.

• x=20.9

• x=19.7

• x=18.3

• x=17.1

Given that the two triangles are similar, solve for y.

• x=12.25

• x=16.25

• x=18.25

• x=26.25