Two fire wardens are stationed at locations A and B, which are 50 km apart. Each warden sights the forest fire at C. Given that angle CAB is 52 degrees and CBA is 43.0, find the distance from C to the nearer warden, to the nearest 0.1 km

1 answer

angle C = 85° (180-52-43)

Labeling the sides a,b,c opposite angles A,B,C, you want side b, since angle B is the smallest angle.

b/sinB = c/sinC
b/sin43° = 50/sin85°
Now just solve for b