1. Jordan makes a bet with Brady that the distance across the river by their house is more than 10 m. Whoever loses the bet has to jump in and swim across the river (Don’t worry, the water is calm and they are both good swimmers). To find the distance across the river, they take some measurements and use their knowledge of similar triangles. Who wins the bet? *Prove they are similar first!*

2. You and your Phys. Ed. Partner Pat have been given the assignment to measure the height of the flagpole in front of the school. Unfortunately, neither of you can climb, but your partner knows another way and tells you about it.
Pat’s height = 172 cm
Length of Pat’s shadow = 80 cm
Length of Flagpole’s shadow = 280 cm.
How do you use this information to find the height of the flagpole? Draw a diagram!

3. Tessa wants to measure the height of a building
Tessa wants to measure the height of a building. She notices that when she stands 150 m away from the base of the building and holds out her thumb in front of her eye, it completely blocks out the building. The length of her arm is 48 cm and the height of her thumb is 6 cm. How tall is the building? Draw a diagram.