SOLUTION: Two ships depart a port at the same time. One travels 11 degrees west of south at 45 mph while the other travels 22 degrees north of east at 21 mph. How far apart are they after 73
Algebra.Com
Question 493655: Two ships depart a port at the same time. One travels 11 degrees west of south at 45 mph while the other travels 22 degrees north of east at 21 mph. How far apart are they after 73 minutes?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two ships depart a port at the same time.
One travels 11 degrees west of south at 45 mph
x component: cos(270-11) = cos(259) = -0.1908
y component: sin(259) = -0.9816
------
West distance: 45*(73/60)(-0.1908) = -10.45 miles
South distance: 45*(73/60)(-9816) = -53.74
------------------------------------------
while the other travels 22 degrees north of east at 21 mph.
x component: cos(22) = 0.9272
y component: sin(22) = 0.3746
-----------
Each distance: 21*73/60*0.9272 = 23.70
North distance: 21*(73/60)*0.3746 = 9.57
----------------------------------------------
How far apart are they after 73 minutes?
-----
d = sqrt[(-10.45-23.70)^2 + (-52.74-9.57)^2]
----
d = sqrt[1166.22 + 3882.69]
----
d = 71.06 miles
====================
Cheers,
Stan H.
RELATED QUESTIONS
Two cars leave the lot at the same time.
One travels WEST at 45 mph.
The other travels (answered by ramkikk66)
Two ships leave port at the same time. One travels north at 80 knots (that is, 80... (answered by Alan3354)
Please explain how to show work for this problem and the answer:
Two ships leave a... (answered by mananth)
Two ships leave the same port at the same time along paths that make an angle of 115o... (answered by lwsshak3)
Two cars start moving from the same point at the same time. One travels south at 60 mph... (answered by Alan3354)
Two ships leave a dock at the same time at an angle of 45 degrees from one another. One... (answered by Boreal)
two cyclists depart from the same point one travels due east at 18 km/hr while the other... (answered by ankor@dixie-net.com)
two casrs leave a parking lot at the same time.one car travel south at 55 mph and other... (answered by josgarithmetic,Alan3354)
Two trains leave bluebird station at the same time traveling due west on parallel tracks. (answered by ikleyn)