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?

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