OpenStudy (anonymous):

.

4 years ago
OpenStudy (anonymous):

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. \[165^2 = 83^2 + 111^2 - 2(83)(111)\cos(\theta)\]

4 years ago
OpenStudy (anonymous):

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

4 years ago
OpenStudy (anonymous):

@Euler271 ??

4 years ago
OpenStudy (anonymous):

@phi ?

4 years ago
OpenStudy (phi):

yes

4 years ago
OpenStudy (phi):

Re-reading the question, they want the angle "degrees North of West"

4 years ago
OpenStudy (phi):

|dw:1369857679392:dw|

4 years ago
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