A 10 foot ladder is leaning against a house. The base of the ladder is 4 feet from the house. How far does the ladder reach up the house?

Question

Mathematics

Gaven Velazquez

30 March, 23:12

A 10 foot ladder is leaning against a house. The base of the ladder is 4 feet from the house. How far does the ladder reach up the house?

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Answers (1)

Know the Answer?

Giuliana Santiago · Answer 1

Answer: 9.17 feet

Step-by-step explanation:

Use the Pythagoras theorem,

a^2 + b^2 = c^2

You are give c and b (because one side is slanted, so c) so rearrange to get

c^2-b^2 = a^2

10^2 - 4^2 = 84

Square root 84 to get

9.16515