Question

A 12-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? If necessary, round to the nearest tenth foot.

Answer 1

Use pythagorean theorem

Answer 2

i need help on that

Answer 3

In a RIGHT TRIANGLE,
\[a^2+b^2=c^2\]
where c is the hypotenuse, opposite the right angle.

Answer 4

\[12^2-5^2=x^2\]

Answer 5

\[x=\sqrt{12^2-5^2}=\sqrt{119} \approx 10.9ft\]