At 3 pm, a boat is 12.5 miles due west of radar station and traveling at 11 mph in a direction that's 57.3 degrees south of an east-west line. At what time will the boat be closest to the radar station?

Question

anonymous · Answer

Please help me with this question

aum · Answer

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aum · Answer

Find x.
Divide x by the speed of the boat to find the time it will take for the boat to reach point C which will be the closest point to the radar station.

Add this time to 3:00 pm to get the time the boat will be closest to the radar station.

aum · Answer

What trigonometric function connects side BC and side AB of the triangle ABC?

aum · Answer

cos(57.3) = adjacent / hypotenuse = BC / AB = x / 12.5
x = 12.5 * cos(57.3) = ?

anonymous · Answer

Yes, cosine will be used

radar · Answer

@ice0Learner Welcome to open study.  Continue with the problem, you have been provided excellent assistance.  Try and solve the problem.

anonymous · Answer

Thanks :)