HOMEWORK PRACTICE: CCSS ALGEBRA 8Name: Period:

Homework Practice Number 23Unit: Pythagorean Theorem – Word Problems Date Due:

Solve the following problems. Make sure to draw an appropriate picture.1. A builder needs to add diagonal braces to a wall. The wall is 16 feet wide by 12 feet high. What is the length of

each brace?

2. The diagram at the right shows how a post was broken. What was the original height of the post?

3. To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

4. A ladder is leaning against the side of a 10m house. If the base of the ladder is 3m away from the house, how tall is the ladder?

5. A wire is stretched from the top of an 8 ft pole to a bracket 5 ft from the base of the pole. How long is the wire?

6. A helicopter rose vertically 300 m and then flew west 400 m. How far was the helicopter from its starting point?

7. A park is in the shape of a rectangle 8 miles long and 6 miles wide. How much shorter is your walk if you walk diagonally across the park than along two sides of it?

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8. The bases on a softball diamond are 60 feet apart. How far is it from home plate to second base? (Shortest distance)

9. Anna has let out 50 meters of kite string when she observes that her kite is directly above Emily. If Anna is 35 meters from Emily how high is the kite?

10. A newly-planted tree needs to be staked with three wires. Each wire is attached to the trunk 3 ft above the ground, and then anchored to the ground 4 ft from the base of the tree. How much wire is needed for 6 trees?

11. The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?

12. A soccer field is a rectangle 90 m wide and 120 m long. The coach asks players to run from on corner to the corner diagonally across the field how far do the players run?

13. How far from the base of a house do you need to place a 15 ft ladder so that it exactly reaches the top of a 12 ft wall?

14. The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the sliding board?

15. The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

16. A baseball “diamond” is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner “out”? Given this information, explain why runners more often try to steal second base than third.

17. Your family wants to purchase a new laptop with a 17” widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don’t remember the width. Calculate and describe how you could figure out the width of the laptop to the nearest tenth inch.

18. An inclined ramp rises 4 meters over a horizontal distance of 9 meters. How long is the ramp?

19. In a computer catalog, a computer monitor is listed as being 20 inches. This distance is the diagonal distance across the screen. If the screen measures 11 inches in height, what is the actual width of the screen to the nearest inch?

20. Mrs. Scott tells you that a right triangle has a hypotenuse of 13 and a leg of 5. She asks you to find the other leg of the triangle. What is your answer?

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