The distance between them after 4 hours is 1488.75 miles.
Step-by-step explanation:
In this question apply the law of cosine/The Cosine Rule which states that :
c²=a²+b²-2abcosC where a, b and c are sides of the triangle and C is the angle between the two points.
In this case, the points will be Carlos location and Andrea location , where the angle between their locations is , ∠C 130° ,(210°-80°). Then a will be Andrea's speed, 180 mph and b will be Carlos's speed 230 mph. Finding the distance between then, c, after 4 hours will be;
c²=a²+b²-2abcosC where a=180, b=230, ∠C=130°
c=√ (a²+b²-2abcosC)
c=√(180²+230²-2×180×230×cos(130°) )
c=372.19 miles
After 4 hours, the distance will be : 4×372.19 = 1488.75 miles
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Bearing : https://brainly.com/question/13536178
Keyword : Distance, bearing
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