SOLUTION: Please explain how to show work for this problem and the answer: Two ships leave a port at the same time. One travels at 20 miles per hour in a direction N 32 degrees E, and t

Question 324594: Please explain how to show work for this problem and the answer:
Two ships leave a port at the same time. One travels at 20 miles per hour in a direction N 32 degrees E, and the other travels at 28 miles per hour in a direction S 42 degrees E. How far apart are the two ships after 2 hours?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Two ships leave a port at the same time. One travels at 20 miles per hour in a direction N 32 degrees E, and the other travels at 28 miles per hour in a direction S 42 degrees E. How far apart are the two ships after 2 hours?
..
One travels at 20 mph for 2 hours . = 40 miles N32 deg E
Second travels 28mph for 2 hours . = 56 miles S42 deg E
42 +32 = 74 deg angular distance
..
We have to use the law of cosines to find the the distance.
distance^2= 40^2+60^2-2(40)(60)cos 74
=1600+3600*4800*cos74
=distance ^2=375.75
distance = sqrt375.75
=66.14 miles apart.
RELATED QUESTIONS
two ships leave port at the same time. Ship #1 travels north and ship #2 travels east.... (answered by josmiceli)

Two ships leave port at the same time. One travels north at 80 knots (that is, 80... (answered by Alan3354)

Two ships leave a port at the same time and travel at the same speed. One ship is... (answered by Alan3354)

Two ships leave a port at the same time and travel at the same speed. One ship is... (answered by lwsshak3)

Two ships leave the same port at the same time along paths that make an angle of 115o... (answered by lwsshak3)

Two cruise ships leave port at the same time. One heads south and the other goes east.... (answered by ankor@dixie-net.com)

Please help me find the function Two ships leave port at the same time. One sails... (answered by ankor@dixie-net.com)

I need help to solve this problem Two ships leave port at the same time, one heading... (answered by stanbon)

Two ships leave port at the same time and travel at right angles to each other. One ship... (answered by mananth)