Thales Theorem

A flagpole casts a shadow 3 meters long. A woman near the pole casts a shadow 0.75 meters long. She is 1.5 meters tall.

A flagpole casts a shadow 3 meters long. A woman near the pole casts a shadow 0.75 meters long. She is 1.5 meters tall.How tall is the flag pole?

• 6 m

• 8 m

• 7 m

• 4 m

Most TV screens have similar shapes. The measure of the diagonal is used to give screen size. Suppose the dimensions of a 9-inch screen are 5 inches by 7.5 inches. Find the dimensions of an 18-inch TV and a 36-inch TV.

Most TV screens have similar shapes. The measure of the diagonal is used to give screen size. Suppose the dimensions of a 9-inch screen are 5 inches by 7.5 inches. Find the dimensions of an 18-inch TV and a 36-inch TV.

• 20 by 15

• 20 by 30

• 15 inch by 10 inch

• 15 by 22

The legs of a right triangle measure 12 m and 5 m. What is the length of the legs of a similar triangle to this one whose hypotenuse is 52 m?

The legs of a right triangle measure 12 m and 5 m. What is the length of the legs of a similar triangle to this one whose hypotenuse is 52 m?

• 20

• 48

• 36

• 22

In the triangle below, work out the length of x:

• 12 cm

• 10 cm

• 8 cm

• 6cm

Andy wants to find the height of the tallest building in the city. He lies

down on the ground 425 m from the building, and looks at a tree which is 38 m in front of him, which he knows is 21 m tall, and which looks as tall as the building from his position. How tall is the building in meters?

• 312 m

• 234,86 m

• 769,1 m

• 18,7 m