A13 foot ladder is resting against a house. the base of the ladder is 5 feet from the base of the wall.
how high up the wall does the ladder reach? first step is to draw a diagram of the problem.

This is just the application of Pythagoras theorem

To find how high up the wall the ladder reach

⇒ 13^2 = x^2 + 5^2

therefore x^2 = 13^2 - 5^2

                x^2 = 169 -25

                x^2 = 144

                   x = 12

therefore the ladder is 12 foot high up the wall

Step-by-step explanation:

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Step-by-step explanation: