22.6k views
0 votes
A ladder 12 feet long leans against a wall it rest on the ground 9 feet from the wall. How high on the wall does the ladder rest?

User Veera Raj
by
7.4k points

1 Answer

3 votes

Answer:

√63 or 7.94

Explanation:

To solve this, I used the Pythagorean Theorem which states "a² + b² = c²".

The ladder's length - 12 - would be the hypotenuse; c. The ladder is 9 feet away from the wall. To find how high the ladder rests on the wall:

c² - b² = a²

12² - 9² = c²

144 - 81 = 63

√63 = 7.9372539331937717715048472609178

We can round this to 7.94 But the answer will most likely be √63.

Hope this helps,

A.W.E.S.W.A.N.

User Vlad Jerca
by
6.8k points