Question

A 13-foot ladder leans against the side of a house with its base 3 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth.

Answer 1

Answer: 12.65 ft

Pythagorean theorem is
`a^(2)` +
`b^(2)` =
`c^(2)`

So,
`a^(2)` +
`3^(2)` =
`13^(2)`

169 - 9 = 160

`√(160)` is 12.65.

Hope it helps.