Question

.

Answer 1

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.

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

Answer 2

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

Answer 3

@Euler271 ??

Answer 4

@phi ?

Answer 5

yes

Answer 6

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