A 25-foot ladder is leaning against a house with the base of the ladder 5 feet from the house. How high up the house does the ladder reach? Round to the nearest tenth of a foot. The ladder reaches feet up the side of the house

Question

Ciara

Mathematics

22 September, 12:55

A 25-foot ladder is leaning against a house with the base of the ladder 5 feet from the house. How high up the house does the ladder reach? Round to the nearest tenth of a foot. The ladder reaches feet up the side of the house

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Answers (1)

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Josue Peck · Answer 1

Answer: 24 feet

Step-by-step explanation:

By using Pythagoras rule:

Let x be the high up the house does the ladder reached.

X^2 + 5^2 = 25^2

X^2 = 25^2 - 5^2

x^2 = 625 - 25

x^2 = 600

Square both side

x = sqrt (600)

x = 24.495

x = 24 feet