SOLUTION: Two cargo boats leave the same port at the same time. The direction of one boat is at an angle of 30 degrees to the other. If the ratio of the speed of the first boat to the second
Algebra.Com
Question 1125558: Two cargo boats leave the same port at the same time. The direction of one boat is at an angle of 30 degrees to the other. If the ratio of the speed of the first boat to the second boat is √3/2, and if the second boat travels at 18 km/h, how far apart, in km, are they at the end of 5 hours.
A)45
B)90
C)60
D)45√3
E)30
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Find the speed of the 1st boat (s)
= ....cross multiply
is the speed of the 2nd boat
Find the distance each has traveled in hrs
traveled by the 1st boat
by the 2nd boat
The distance between the boat is the side (a) opposite the 30 degree angle (A)
Use the law of cosines:
,where
Do the math
apart in 5 hrs
so, answer is A)
RELATED QUESTIONS
Two cargo boats leave the same port at the same time. The direction of one boat is at an... (answered by ankor@dixie-net.com,MathTherapy)
Two boats leave the port at the same time. The first boat travels due east at 14 mph, and (answered by jojo14344)
I have have been struggling with this for half of the day. I would appreciate any... (answered by josmiceli)
two boats leave the same port at the same time, the first boat heads due north at 15... (answered by Alan3354)
Two boats leave a dock at the same time and at a 90° angle from each other.
After 3... (answered by rfer)
Please help me with this problem: Two boats leave the buoy at the same time. One of the... (answered by ankor@dixie-net.com)
Two boats leave the dock at the same time going in the same direction.
The first boat... (answered by mananth)
Two boats leave a harbour at the same time and head out at an angle of 35o to each other. (answered by ewatrrr,ikleyn)
Two boats leave the harbour at the same time. Boat A travels at 32km/h on a bearing of... (answered by lwsshak3)