Q:

*Due midnight tonight. Plz help*Andrea and Carlos left the airport at the same time. Andrea flew at 180 mph on a course with a bearing of 80°​,and Carlos flew at 230 mph on a course with a bearing of 210°. Find the approximate distance between them after 4 hours.​

Accepted Solution

A:
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 milesAfter 4 hours, the distance will be : 4×372.19 = 1488.75 milesLearn MoreBearing : : Distance, bearing#LearnwithBrainly