The height which shows how far up the wall will the ladder reach is 11 feet.
The Pythagoras rule can be used to attempt this kind of question in which the hypotenuse squared is equal to the sum of the opposite squared and the adjacent squared.
From the given parameters;
- Let the 12-foot ladder resting on the wall be the hypotenuse
- The 4 feet away from the wall be the adjacent since it is the base.
- Then, the height which shows how far up the wall is the ladder will be the opposite.
∴
hyp² = opp² + adj²
12² = opp² + 4²
144 = opp² + 16
opp² = 144 - 16
opp² = 128
opp = √128
opp = 11.3
opp ≅ 11
Therefore, we can conclude that the height which shows how far up the wall will the ladder reach is 11 feet.
Learn more about Pythagoras rule here:
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