SOLUTION: Two ships leave a harbor at the same time, traveling on courses that have an angle of 140∘ between them. If the first ship travels at 24 miles per hour and the second ship travel
Algebra.Com
Question 1177806: Two ships leave a harbor at the same time, traveling on courses that have an angle of 140∘ between them. If the first ship travels at 24 miles per hour and the second ship travels at 40 miles per hour, how far apart are the two ships after 2.8 hours?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
If you draw this as the start is O, and ship 1 is A and ship 2 B, the distance apart is o. The two legs of the obtuse triangle are 67.2 miles and 112 miles. Use the Law of Cosines:
o^2=a^2+b^2-2ab cos O
=67.2^2+112^2-2(67.2*112)cos 140
=28590.95 miles^2
o=169.09 miles apart, which is the answer. If they had gone in opposite directions, they would have been 179.2 miles apart.
-
by the law of sines, angle A is 25.2 degrees and angle B is 14.8 degrees
RELATED QUESTIONS
Two ships leave a harbor at the same time, traveling on courses that have an angle of 120 (answered by fcabanski)
Two ships leave a harbor at the same time, traveling on courses that have an angle of 120 (answered by ankor@dixie-net.com)
Two ships leave a harbor at the same time, traveling on courses that have an angle of 110 (answered by jsmallt9)
two ships leave a harbor traveling on courses that have an angle of 120 degrees between... (answered by edjones)
Two ships leave the harbor together traveling on courses that have an angle of 127... (answered by Alan3354,ankor@dixie-net.com)
Two ships leave a harbor entrance at the same time. The first ship is traveling at a... (answered by VFBundy)
Two ships are sailing a direct course into harbor. Ship A is 22 miles from harbor. Ship B (answered by ankor@dixie-net.com)
Two ships leave the same harbor at the same time. The first ship heads north at 20 miles... (answered by Alan3354,richwmiller)
Two ships leave the same harbor at the same time. The first ship heads north at 20 miles... (answered by ankor@dixie-net.com)