SOLUTION: The bottom of a ladder must be placed 3 feet from a wall. the ladder is 10 feet long. How far above the ground does the ladder touch the wall?

Algebra ->  Pythagorean-theorem -> SOLUTION: The bottom of a ladder must be placed 3 feet from a wall. the ladder is 10 feet long. How far above the ground does the ladder touch the wall?      Log On


   

Question 1165616: The bottom of a ladder must be placed 3 feet from a wall. the ladder is 10 feet long. How far above the ground does the ladder touch the wall?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Assuming level ground and a vertical wall, the ground, the wall, and the ladder form a right triangle, with the ladder as the hypotenuse.

Use the Pythagorean Theorem to solve the problem.

c%5E2+=+a%5E2%2Bb%5E2

10%5E2+=+3%5E2%2Bx%5E2

You can do the arithmetic....