SOLUTION: An airplane is at a location 800 miles west of city X. Another airplane is at a distance of 1,200 miles in a direction S 30� W from city X. What is the distance between the two air

Question 1062277: An airplane is at a location 800 miles west of city X. Another airplane is at a distance of 1,200 miles in a direction S 30� W from city X. What is the distance between the two airplanes to the nearest mile? Assume that the planes are flying at the same altitude.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
It helps to draw this. From the drawing, the estimate is between 400 (they are the same direction) to 800, less than the distance either is from the city.
Law of cosines.
c^2=a^2+b^2-2abcos C
c^2=800^+1200^2-2(800)(1200)cos 30
=417231.22
c=sqrt (417231.22)=645.93 rounded to 646 miles.

RELATED QUESTIONS
An airplane travels at 200 km/h for 1 hr in a direction of 323� from Greenville. At the... (answered by Alan3354)

At 1:30, an airplane leaves Tucson for Baltimore, a distance of 2240 miles. The plane... (answered by ankor@dixie-net.com)

an airplane can travel at 1000 miles with the wind in the same time it could travel with... (answered by lwsshak3)

On a flight from New York to London, an airplane travels at a constant speed. An equation (answered by josgarithmetic)

An airplane is traveling at a speed of 200 miles/hour with a bearing of 240�. The wind... (answered by Alan3354)

An airplane flying at a rate of 500 miles per hour leaves Los Angeles. One-half hour... (answered by Alan3354)

At 1:30pm an airplane leaves Tucson for Miami a distance of 2240 miles. The plane flies... (answered by ptaylor)

An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When... (answered by Edwin McCravy)

An airplane is traveling at a speed of 200 miles/hour with a bearing of 240°. The wind... (answered by Solver92311,math_tutor2020)