# Math

posted by Trig

Nasreen is designing an obstacle course that includes two ladders leaning against a pole. In order for the ladders to fit in the obstacle course, one ladder must span
1.6 m horizontally and the other must span 5 m horizontally. She already has one
4.3-m ladder. How long must the other ladder be? The answer should be rounded to the nearest tenth.

1. Anonymous

2. Steve

clearly the 4.3m ladder must span the 1.6m distance. Its height is thus
h = √(4.3^2-1.6^2)

So, the length of the other ladder must be

√(h^2+5^2) = √(4.3^2-1.6^2+5^2) = 6.4

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