Pythagorean Theorem - DOK 2 (Continued)

1) Ruben just went down the slide at the playground. He walks 3 feet to get from the end of the slide back to the ladder. Then he climbs 4 feet to the top of the slide again. How long in the slide?

2) Christina measured the floor of her storage unit, which is rectangular. It is 12 meters wide and 13 meters from one corner to opposite corner. How long is the storage unit?

3) Tisha is mountain climbing with Ruth and has just climbed a 16-meter vertical rock face. Ruth is standing 12 meters away from the bottom of the cliff, looking up at Tisha. How far away are Tisha and Ruth?

4) Seema looks around at an assembly. She notices her younger sister to her right and her older brother8 feet ahead of her. If Seema's brother and sister are 17 feet apart, how far apart are Seema and her younger sister?

5) Reid is deep-sea diving with two friends. Dina is floating on the surface 6 meters above Reid, and Nanette is exploring a coral reef 8 meters in front of Reid. How far apart are Dina and Nanette?

6) Bryan is in a hot air balloon that has just taken off and is floating above its launching point. Pam is standing on the ground, 9 meters away from the launching point. If Bryan and Pam are 15 meters apart, how high up is Bryan?

7) Two window washers, Lisa and Kemal, lean a ladder against the side of a building so that Lisa can wash a window while Kemal holds the ladder. The top of the ladder reaches the window, which is 3 meters off the ground. The base of the ladder is 4 meters away from the building. How long is the ladder?

8) A windowpane is 12 inches tall and the diagonal distance from one corner to the other is 13 inches. How wide is the windowpane?

9) Three ballet dancers are positioned on stage. Dina is straight behind Riley and directly left of Noah. If Riley and Dina are 8 feet apart, and Noah and Riley are 10 feet apart, what is the distance between Dina and Noah?

10) Three baseball players are playing catch. Alice is 4 meters south of Jeanette and 3 meters west of Doug. How far does Jeanette need to throw the ball to get it to Doug?

Answers:

1) 5 feet, 2) 5 meters, 3) 20 meters, 4) 15 feet, 5) 10 meters, 6) 12 meters, 7) 5 meters, 8) 5 inches, 9) 5 meters, 10) 5 meters