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Euler271 Group TitleBest 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. \[165^2 = 83^2 + 111^2  2(83)(111)\cos(\theta)\]
 one year ago

Euler271 Group TitleBest 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
 one year ago

lala2 Group TitleBest ResponseYou've already chosen the best response.1
@Euler271 ??
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
Rereading the question, they want the angle "degrees North of West"
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
dw:1369857679392:dw
 one year ago

phi Group TitleBest 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
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
answer + 115.8 =180 solve for answer
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
I would add 115.8 to both sides
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.1
yes, the ship was heading west (270 degrees) and it turned 64.2º toward the north.
 one year ago
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