Posted by **Anonymous** on Monday, October 4, 2010 at 9:45pm.

a 17-foot ladder leans against a wall. if the ladder is 8 feet from the base of the wall, how far is it from the bottom of the wall to the top of the ladder

- algebra -
**Mindy**, Monday, October 4, 2010 at 9:53pm
15ft

imagine a triangle. The diagonal side is 17 ft. the bottom is 8 ft. Use the pythagorean theorem to find the third side. so

17^2 minus 8^2 = 225. then take the square root of 225, which is 15

- algebra -
**Ms. Sue**, Monday, October 4, 2010 at 9:55pm
Let c = the length of the ladder. b = the distance from the wall. Use the Pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 8^2 = 17^2

a^2 + 64 = 289

a^2 = 225

a = 15

- algebra -
**Mindy**, Monday, October 4, 2010 at 9:58pm
my way worked too

- algebra -
**Ms. Sue**, Monday, October 4, 2010 at 10:06pm
Yep. It's always good to show students more than one way to solve a problem.

Btw -- I hadn't seen your post when a posted mine.

- algebra -
**Ms. Sue**, Monday, October 4, 2010 at 10:07pm
*I posted mine.

- algebra -
**Mindy**, Monday, October 4, 2010 at 10:08pm
oh ok :)

## Answer this Question

## Related Questions

- math - A ladder leans against a brick wall, The top of the ladder touches the ...
- algebra - A ladder is resting against a wall. The top of the ladder touches the ...
- Pre-Calculus - A ladder leans leans against a building that has a wall slanting ...
- Algebra 1 - A ladder is resting against a wall. The top of the ladder touches ...
- Calculus - The top of a 24 foot ladder, leaning against a vertical wall, is ...
- Calculus - A 10 foot ladder leans against a 20 foot wall. Someone begins pushing...
- Calculus - a 5m ladder rests against a vertical wall. The top of the ladder ...
- algebra - 10 ft ladder leans against wall its foot braced 3 ft from wall's base...
- Calculus - A 17 foot ladder is leaning against a wall. The bottom of the ladder...
- Calculus - A ladder 15 feet long leans against a vertical wall. Supppose that ...