Pythagorus' Theorem: A2 + B2 = C2
Therefore... 1.52 + B2 = 6.82
= 2.25 + B2 = 46.24
B2 = 46.24 - 2.25 = 43.99
SqR of 43.99 = 6.63m [The height the ladder reaches up the wall].
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