# Calculate maximum feet: Pythorean theorem problem

An extension ladder adjusts in length from 10 ft to 16 ft. Suppose you've leaned your ladder against your house, so that, at its minimum length, it touches the base of your first floor window, 9 feet above the ground. Without moving the base, how high will the ladder reach, when extended?

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#### Solution Preview

From the figure, we can see, it's actually a rectangular triangle.

we should find the ...

#### Solution Summary

The height of a ladder is calculated in this solution.

$2.19