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Euler271
 one year ago
Best ResponseYou've already chosen the best response.0law 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. \[165^2 = 83^2 + 111^2  2(83)(111)\cos(\theta)\]

Euler271
 one year ago
Best ResponseYou've already chosen the best response.0you 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

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

phi
 one year ago
Best ResponseYou've already chosen the best response.1Euler lost a minus sign the angle you want plus 115.8 add up to a straight line

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

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

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