Solve Pythagorean theorem word problems

Draw the right triangle first, then use a² + b² = c².

1. A 5 m ramp rises from a spot 3 m from the base of a wall. How high is the top of the ramp?
2. A 50 m ramp rises from a spot 14 m from the base of a wall. How high is the top of the ramp?
3. A 29 m ladder leans against a wall with its foot 21 m from the wall. How high up the wall does it reach?
4. A 25 m ramp rises from a spot 7 m from the base of a wall. How high is the top of the ramp?
5. A 51 m ramp rises from a spot 24 m from the base of a wall. How high is the top of the ramp?
6. A 111 m ramp rises from a spot 36 m from the base of a wall. How high is the top of the ramp?
7. A 39 m ramp rises from a spot 15 m from the base of a wall. How high is the top of the ramp?
8. A 82 m wire is tied to the top of a pole and to the ground 18 m from its base. How tall is the pole?
9. Find the distance between (8, −3) and (−22, −19).
10. Find the distance between (−2, 3) and (−14, 12).
11. Find the distance between (−7, −1) and (−21, −49).
12. Find the distance between (8, 3) and (−55, −57).
13. A box is 7 cm by 6 cm by 6 cm. How long is the diagonal from one corner to the opposite corner?
14. A box is 5 cm by 4 cm by 20 cm. How long is the diagonal from one corner to the opposite corner?
15. A box is 6 cm by 6 cm by 7 cm. How long is the diagonal from one corner to the opposite corner?
16. A box is 3 cm by 12 cm by 4 cm. How long is the diagonal from one corner to the opposite corner?
17. A box is 3 cm by 6 cm by 2 cm. How long is the diagonal from one corner to the opposite corner?
18. A box is 6 cm by 7 cm by 6 cm. How long is the diagonal from one corner to the opposite corner?
19. A box is 6 cm by 2 cm by 9 cm. How long is the diagonal from one corner to the opposite corner?
20. A box is 6 cm by 2 cm by 3 cm. How long is the diagonal from one corner to the opposite corner?