call distance Ma to C = n
law of cosines
n^2 = 74^2 + 42^2 - 2*74*42 cos 45
n^2 = 5476 + 1764 - 4395 = 2844
n = 53.3 km
then
sin Ma/42 = sin 45/n
sin Ma = .557
Ma = 33.8
so direction from Ma to C = East + 45 + 33.8 = east + 78.8
or 169 clockwise from North, (about south by east)
Manyatta Village is 74 km North West of Nyangata Village. Chamwe village is 42 km west of Nyangata. By using an appropriate scale drawing, find the bearing of Chamwe from Manyatta.
1 answer
1 answer