SOLUTION: Two ships leave a dock at the same time at an angle of 45 degrees from one another. One sails at a rate of 40 mph, the other at 35 mph. How far apart are they in 2 hours time?

Question 993958: Two ships leave a dock at the same time at an angle of 45 degrees from one another. One sails at a rate of 40 mph, the other at 35 mph. How far apart are they in 2 hours time?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Use the law of Cosines and draw it.
One leg is 80 (2 hours at 40 mph), the other 70, and the enclosed angle is 45 degrees.
c^2=a^2+b^2-2abcosC; Cos C=sqrt(2)/2
c^2=6400+4900-2(80)(70)*sqrt(2)/2
=3380.4 mi^2
c=58.14 miles
RELATED QUESTIONS
Two ships leave port at the same time. Ship A sails north at a speed of 10 mph while ship (answered by ankor@dixie-net.com)

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

Two ships leaves the same port at 7 AM, the first ship sails on a 54 degree course at... (answered by ankor@dixie-net.com)

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

Two ships depart a port at the same time. One travels 11 degrees west of south at 45 mph... (answered by stanbon)

Two ships leave port at the same time. One sails south at 15 mi/h and the other sails... (answered by ankor@dixie-net.com,josmiceli)

Two ships leave port at the same time. One sails south at 15 mi/h and the other sails... (answered by macston)

Please help me. Two cars leave from the same spot at the same time, traveling on... (answered by ankor@dixie-net.com)

Two boats leave a dock at the same time and at a 90� angle from each other. After 3... (answered by rfer)