Ships A and B leave port together. For the next two hours, ship A travels at 24mph in a direction 40 degree west of north while ship B travels 29 degree east of north at 32mph .

what is the distance between the ships 2 hours later?

What is the speed of ship A as seen by ship B?

Question

Ships A and B leave port together. For the next two hours, ship A travels at 24mph  in a direction 40 degree west of north while ship B travels 29 degree east of north at 32mph .

what is the distance between the ships 2 hours later?

What is the speed of ship A as seen by ship B?

anonymous · Answer

distance between them is 48*sin40+64*sin29 m

anonymous · Answer

its that simple?

anonymous · Answer

speed of A as seen by B ((32*cos29-24*cos40)^2+(32*sin29+24*cos40)^2)^0.5

anonymous · Answer

so the distance is 61.88 miles and speed is 35.23 mph? right?

anonymous · Answer

sry it was not 4 u

radar · Answer

Since this form a triangle where you are given two sides and their included angle
(40+29) degrees, it is also possible to use the law of cosines where$$a ^{2}=b ^{2}+c ^{2}-2bc Cos69^{o}$$  This provides a value of a (distance between ships)
of 64.8 why their is a discrepancy of this value between the first solution I do not know.

anonymous · Answer

hmm thanks! is the speed done the same way? as up there?

radar · Answer

I haven't looked at the speed yet, I am trying to figure the rationale, I am thinking that Jas assumed the due north directional line formed a right angle with the line between the two ships, this I believe would be an assumption and not necessarily true.

radar · Answer

maybe he will come back and explain his rationale!  Meanwhile I ponder. lol

anonymous · Answer

hehe thanks.. im working on a different problem now.

radar · Answer

Jas, if you're back, the equation you posted for the  speed ship A as observed by ship B do you intend for the square root to be taken for only the last parenthesis of for the sum of both parenthesis?