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A ladder is placed so its foot is 2m from a wall. The ladder touches the top of a 2m fence that is 1.5m from the wall. How high up the wall does the ladder reach?

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Draw a diagram. Using similar triangles, see that

h/2 = 2/1.5

Oops

Make that

h/2 = 2/(2-1.5) = 2/0.5

h = 8

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