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The crew of a helicopter need to land temporarily in a forest and spot a flat horizontal piece of ground (a clearing in the forest) as a potential landing site, but are uncertain whether it is wide enough. They make two measurements from A (see picture) finding α = 23° and β = 56°. They rise vertically 100 feet to B and measure γ = 46°. Determine the width of the clearing to the nearest foot.
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