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two cars start moving from same location.head straight.but different directions. The...
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(Level 1) Associate Educator, Expert
This is an application of the Law of Cosine:
`c^2 = a^2 + b^2 - 2abcosC`
C here is the given angle and c (smaller) is the length of the side opposite to angle C; a and b are the other two legs. Hence, to solve for the distance of the two cars, we simply solve for c:
`c^2 = 20^2 + 37^2 - 2(20)(37)cos(43) = 400 + 1369 - 1480*0.73 = 688.6.`
Taking square roots, we see that c = 26.24 miles.
Posted by mvcdc on May 13, 2013 at 5:37 PM (Answer #1)
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