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anonymous
 5 years ago
A boat sails for 2 hours at 35 mph in a direction 91.40°. How far south has it sailed (to the nearest mile)?
anonymous
 5 years ago
A boat sails for 2 hours at 35 mph in a direction 91.40°. How far south has it sailed (to the nearest mile)?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If it's traveling at 91.4 degrees, isn't that in the northwest direction? Or am I using the wrong starting point?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0im not sure. thats how it is in the book

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.090 degrees is north unless you go 90 degrees then its south

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Exactly...so you're looking for a negative value here? :P

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm not quite sure; that just seems like where it's going. xD So, you're going to easily get a value for the magnitude of the direction, but you still have an angle. You want the portion of the motion that's in the north  south direction, so you can multiply that distance by cos(91.490)  because you're only looking at that extra 1.4 degrees from north.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so what would i multiply

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You know how far the boat travels (d = v*t) and because you want the portion of the motion that's in line with north, you multiply by the cosine of that extra little bit of the angle. That's because cos(x) = adjacent/hypotenuse. The distance is your hypotenuse, so to get the adjacent side you get multiply the cosine by the distance.
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