SOLUTION: Two ships leave port at the same time. One ship takes a bearing of 26� East of due North. The other ship takes a bearing of 32� West of due North. Both ships are travelling at a

Question 531343: Two ships leave port at the same time. One ship takes a bearing of 26� East of due North. The other ship takes a bearing of 32� West of due North. Both ships are travelling at a speed of 30 miles per hour. How far apart, to the nearest mile, will they be at the end of three hours?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Two ships leave port at the same time. One ship takes a bearing of 26� East of due North. The other ship takes a bearing of 32� West of due North. Both ships are travelling at a speed of 30 miles per hour. How far apart, to the nearest mile, will they be at the end of three hours?
**
let x= distance ships will be apart at the end of 3 hours
You are working with a triangle where the included angle=26+32=58�
At 30 mph after 3 hours each of the two sides=90 mi
So, Law of Cosines can be used to solve for x.
..
x^2=90^2+90^2-2*90*90*cos58�
x^2=16200-8584.69=7615.31
x=√(7615.31)=87.27 mi
ans:
Distance ships will be apart at the end of 3 hours=87.27 mi
RELATED QUESTIONS
Two ships leave the same port at 10:00 A.M. Ship A travels at the constant rate of 25 MPH (answered by lwsshak3)

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 a port O. One ship travels on a bearing of 340° to a point P which is... (answered by Boreal)

Please help! Thank you in advance! Two ships A and B start from the same port at 8am. (answered by stanbon)

two ships leave port. the first ship A travels bearing of 033 degrees while B travels... (answered by Fombitz)

Two ships sail out from a harbour at the same time. One sails on a bearing of 015 degrees (answered by jim_thompson5910)

A ship leaves Sydney and travels due north for two hours at 24km/h, it then travels due... (answered by ankor@dixie-net.com)

2 ships leave the same port simultaneously. One ship sails 450 nautical miles on a... (answered by ankor@dixie-net.com)