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Euler271Best ResponseYou've already chosen the best response.0
law of cosines: \[c^2 = a^2 + b^2  2abcos(\theta)\] c is the longest side, notice that pythagoras' is the special case of law of cosines, where theta = 90. \[165^2 = 83^2 + 111^2  2(83)(111)\cos(\theta)\]
 10 months ago

Euler271Best ResponseYou've already chosen the best response.0
you end up with: cos(theta) = 0.434983175 so with your calculator, use the cos^(1) button on 0.434983175 (cos inverse) to get the obtuse angle: 64.2 degrees the direction north of west would be 180 degrees  64.2 degrees
 10 months ago

phiBest ResponseYou've already chosen the best response.1
Rereading the question, they want the angle "degrees North of West"
 10 months ago

phiBest ResponseYou've already chosen the best response.1
Euler lost a minus sign the angle you want plus 115.8 add up to a straight line
 10 months ago

phiBest ResponseYou've already chosen the best response.1
answer + 115.8 =180 solve for answer
 10 months ago

phiBest ResponseYou've already chosen the best response.1
I would add 115.8 to both sides
 10 months ago

phiBest ResponseYou've already chosen the best response.1
yes, the ship was heading west (270 degrees) and it turned 64.2º toward the north.
 10 months ago
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