Points A and B are on the opposite side of Lake Yankee from point C. The angle between the line of sight to A and B is 46 degrees . If AC is 350 m long and BC is 286 m long , find AB

Question

I feel like I didn’t do this one right, or maybe it’s just me. Please and thank you for an answer with work!

Answer 1

This is a Law of Cosines problem (SAS) where the included angle is 46 degrees and the two sides including that angle are 350 and 286.

So:

AB² = 350²+286²-2(350)(286)cos(46).

See:

desmos.com/calculator/1ra7ngl3iy

for the calculation (using different letters than the original problem, i.e. c = AB).