Question

A 10-foot ladder is learning against wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall?

Answer 1

`4√(6) feet`

Explanation:

Step 1: Make an equation to represent the scenario

`a^2 + b^2 = c^2`

`(2)^2 + b^2 = (10)^2`

`4 + b^2 - 4 = 100 - 4`

`b^2 = 96`

Step 2: Square root both sides

`√(b^2) = √(96)`

`b = √(4^2*6)`

`b=4√(6)`

Answer:
`4√(6) feet`