Name:    Lesson 5 - Solving Problems Involving Similar Shapes

1.

John would like to determine the height of a maple tree. He is 1.5 m tall and his shadow is 4.0 m long. The shadow of the tree at the same time of day is 80.0 m long.
Which ratio could use to determine the height of the tree?

 a. b. c.

2.

Use your answer to question 1 to determine the height of the tree.
 a. 213 m b. 50 m c. 30 m

3.

Marta is standing beside a lighthouse on a sunny day. Marta is 1.6 m tall. How tall is the lighthouse?

 a. 25 m b. 50 m c. 20 m d. 45 m

4.

On a sunny day, Richard is visiting the CN Tower in Toronto. Richard is 1.86 m tall and casts a shadow that is 4.0 m long. At the same time, the CN Tower casts a shadow that is 1190 m long. How tall is the CN Tower?

 a. 500 m b. 565.75 m c. 550.40 m d. 553.35 m

5.

A tree 30 m tall casts a shadow that is 50 m in length. How tall is a nearby street post that casts a shadow at the same time of day that is 8 m in length?

 a. 3.8 m b. 4.8 m c. 5.4 m d. 4.2 m

6.

Braedon is 1.85 m tall and cast a shadow that is 0.60 m long. At the same time, a nearby radio tower casts a shadow that is 9.00 m long. How tall is the radio tower?

 a. 25.52 m b. 31.25 m c. 27.75 m d. 22.50 m

7.

is similar to . Which ratio would you use to determine the length of CD?

 a. b. c.

8.

Use your answer to question 7 to determine the length of CD.
 a. 3.3 cm b. 7.5 cm c. 4.8 cm

9.

A surveyor uses this diagram and similar triangles to determine the distance across a bay. Which ratio would you use to determine the length of AB?

 a. b. c.

10.

Use your answer to question 9 to determine the distance across the bay.
 a. 36.0 m b. 9.0 m c. 25.0 m