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Fire towers A and B are located 10 miles apart. Rangers at fire tower A spot a fire 42 degrees, and rangers at fire tower B spot the same fire at 64 degrees. How far from tower A is the fire to nearest tenth of a mile?

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Answer:

AC=10mile

in triangle ABC

relationship between perpendicular and hypotenuse is given by sin angle

sin 64=AB/AC

sin64Γ—10=AB

AB=8.987=9 mile

so about 9mile tower A from the fire to nearest tenth of a mile.

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