Trig
posted by Pcwest .
Two ships leave the same port at 7.am. The first ship sails towards europe on a 54 degree course at a constant rate of 36 mi/h. The second ship,neither a tropical destination, sails on a 144 degree course at a constant speed of 42 mi/h. Find the distance between the ships at 11. Am.

I hope this helps anyone.
117=4
36x4=144
42x4=168
Draw a triangle with an angle of 54 degrees. Then include the 54 degree angle in the 144 degree angle. Hope this makes sense.
Angle 144 overlaps angle 54.
14454=90
So the angle of the distance between the ships is 90.
Then use the law of cosines
a^2=b^2+c^22bc(cosA)
a^2=144^2+168^22(144)(168)cos(90)
a^2=48960
a=√48960=221.27 miles
the final answer is 221.27 miles
Respond to this Question
Similar Questions

Trig
A ship leaves its homeport and sails on a bearing of N28degrees10'E. Another ship leaves the same port at the same time and sails on a bearing of S61degrees50'E. If the first ship sails at 24.0 mph and second sails at 28mph, find the … 
I NEED URGENT HELP!!!
A ship leaves port at 1:00 P.M. and sails in the direction N36°W at a rate of 25 mi/hr. Another ship leaves port at 1:30 P.M. and sails in the direction N54°E at a rate of 16 mi/hr. (a) Approximately how far apart are the ships at … 
Calculus
at 12 noon ship A is 65 km due north of a second ship B. Ship A sails south at a rate of 14km/hr, and ship B sails west at a rate of 16km/hr. How fast are the two ships approaching each other 1.5 hours later at 1:30pm? 
math
at 12 noon ship A is 65 km due north of a second ship B. Ship A sails south at a rate of 14km/hr, and ship B sails west at a rate of 16km/hr. How fast are the two ships approaching each other 1.5 hours later at 1:30pm? 
Calculus
Two ships leave the same port at noon. Ship A sails north at 22 mph, and ship B sails east at 12 mph. How fast is the distance between them changing at 1 p.m.? 
AP Calculus
Two ships sail from the same port. The first ship leaves port at 1:00a, and travels eastward at a rate of 15 knots. the second ship leave port at 2:00am and travels northward at a rate of 10 knots. Determine the rate at which the ships … 
engineering science N4
Two ships leave port simultaneously. Ship A sails northwest at 30 km/h and ship B sails S 40 degrees W at 30 km/h. Calculate the velocity of ship B relative to the velocity of ship A. 
Trigonometry
A ship leaves port at 2:00 pm and sails in the direction S34 degrees W at a rate of 15mph. Another ship leaves port at 3:00 pm and sails in the direction S56 degrees E at a rate of 12mph. Find how far apart the ships are at 4:00 pm. 
Calculus
Two ships leave the same port at noon. Ship A sails north at 12 mph, and ship B sails east at 19 mph. How fast is the distance between them changing at 1 p.m.? 
Trig
A ship leaves port and sails at a bearing of 124degrees. Another ship leaves the same port, at the same time, sailing at a bearing of 74degrees. When both ships are 80 miles from the port, how far are they from each other?