Question

a ladder that is 22 feet long is propped up against a 15 - foot - tall building. use the drop downs to answer the following questions.
what is the unknown information that could be found using the pythagorean theorem?
what meas
hypotenuse, the length of the ladder.
a = 15
leg, distance from the wall to the base of the ladder.
c = 22
what is the leg, height of the building.
16.09 feet

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse (length of the ladder, \(c = 22\) feet) and \(a\) is one leg (distance from the wall to the base of the building, \(a=15\) feet), and \(b\) is the other leg (height of the building).

Step2: Solve for \(b\)

Substitute \(a = 15\) and \(c = 22\) into the formula:

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Answer:

16.09 feet