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In effect you have the outline of aright-angled triangle with an adjacent side of 10 ft and an opposite side of 15 ft and you need to find the length of the hypotenuse (which will be the ladder).

Use Pythagoras' theorem to find the length of the hypotenuse:

adjacent2+opposite2 = hypotenuse2

102+152= 325 square feet

The square root of 325 = 18.02775638 feet

So the ladder needs to be at least 18 feet in length.

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Q: If a sign is 35 ft tall and i place a ladder 10 ft from the bottom of the sign how long of a ladder will i nedd to reach 15 ft up the sign?
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