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a ship at sea is 92 miles from one radio tower and 124 miles from another. The angle between the radio signals has a measure of 156 degrees. Find the distance between the radio towers.

Dec 11th, 2014

Solve with the law of cosines:

a^2 = b^2+c^2-2*b*c*cos(A)

a^2 = 92^2+124^2-2*92*124*cos(156)

a^2 = 45,589.69

a = 213.52 miles

Dec 11th, 2014

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Dec 11th, 2014
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