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lala2
 2 years ago
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lala2
 2 years ago
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Euler271
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1Rereading the question, they want the angle "degrees North of West"

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

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

phi
 2 years 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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