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If you take the trouble to draw a sketch of the situation that you've described,

the method of solution, as well as the answer, will jump out at you.

The ground, the wall, and the ladder, form a right triangle. The base is 9-ft, and

the hypotenuse is 15-ft. If you've been assigned this problem as homework, then

you've sat through enough geometry in class to know how to work with the right

triangle. The length of the missing side is 12-ft, and it makes no difference how high

the wall is, as long as it's high enough to support the upper end of the ladder.

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Q: What is the formula for a 15 foot ladder is leaning against a 30foot wall the bottom end of the ladder is 9 feet from the wall how many feet above the ground does the ladder touch the wall?
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