Question

1. the bottom of a ladder must be placed 3 feet from the wall. the ladder is 10 feet long. how far above the ground does the ladder touch the wall?

Explanation:

Step1: Identify the right - triangle

The ladder, the wall, and the ground form a right - triangle. The length of the ladder \(c = 10\) feet (hypotenuse), the distance from the bottom of the ladder to the wall \(a=3\) feet (one leg). Let the height on the wall be \(b\).

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\). Substitute \(a = 3\) and \(c = 10\) into the formula:

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Answer:

The ladder touches the wall approximately \(9.54\) feet above the ground.