SOLUTION: Two ships leave the same port at 10:00 A.M. Ship A travels at the constant rate of 25 MPH at a bearing of S70E; Ship B travels at a constant rate of 20 MPH at a bearing of N29W. Ho
Algebra.Com
Question 418268: Two ships leave the same port at 10:00 A.M. Ship A travels at the constant rate of 25 MPH at a bearing of S70E; Ship B travels at a constant rate of 20 MPH at a bearing of N29W. How far apart are the ships at noon?
b. what is the bearing to Ship B from Ship A at noon?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Two ships leave the same port at 10:00 A.M. Ship A travels at the constant rate of 25 MPH at a bearing of S70E; Ship B travels at a constant rate of 20 MPH at a bearing of N29W. How far apart are the ships at noon?
b. what is the bearing to Ship B from Ship A at noon?
..
At noon ship A would have traveled 2*25=50 miles.
At noon ship B would have traveled 2*20=40 miles.
Draw an (x,y) coordinate graph with center where both ships left at 10 AM from
the same port.Ship A with a bearing of S70E makes a 20 degree angle with the x-axis. Ship B with a bearing of N29W makes a 29 degree angle with the y-axis.
You now have a triangle with sides of 50 mi and 40 mi with their included angle = 20+90+29=139 degrees.
Using Law of Cosines: c^2=a^2+b^2-2abCosx=50^2+40^2-2*50*40*cos 139 deg.
c^2=4100-(-3018.34)=7118.34
c=84.37 miles
ans:
The ships are 84.37 miles apart at noon.
..
bearing to ship B from ship A
sinx/sin40=sin139/84.37
sinx=40sin139/84.37=.311
x=18.12 degrees
bearing angle=90-20-18.12=51.88 deg
ans:
After 12 noon,bearing to ship B from ship A=N51.88W
RELATED QUESTIONS
Two ships leave the dock at 8:00 AM. The first ship travels at a bearing of N 26o W at... (answered by Alan3354)
Two ships leave the dock at 8:00 AM. The first ship travels at a bearing of N 26o W at... (answered by Alan3354)
Two ships leave the dock at 8:00 AM. The first ship travels at a bearing
of N 26° W at (answered by Edwin McCravy)
Two ships leave the dock at 8:00 am. The first ship travels at a bearing of N 26 degrees... (answered by Fombitz)
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 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 ship takes a bearing of 26± East of due... (answered by lwsshak3)
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)
Can someone help? Thank you.
A ship leaves port and travels along a bearing of S 25... (answered by Boreal)