A 30 -foot ladder is leaning against a building. The base of the ladder is 18 feet from the side of the building. How high does
the ladder reach along the side of the building?
1 answer:
<h3>
Answer: 24 feet</h3>
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Explanation:
Refer to the diagram below. We have a right triangle with known horizontal leg 18, and unknown vertical leg x. The hypotenuse is 30.
Let a = x, b = 18, c = 30.
Apply the Pythagorean theorem to solve for x
a^2 + b^2 = c^2
x^2 + 18^2 = 30^2
x^2 + 324 = 900
x^2 = 900-324
x^2 = 576
x = sqrt(576)
x = 24
The top of the ladder reaches 24 feet high.
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