Napoli is 170km from Rome on a bearing of 130 degrees. Foggia is 140km from Napoli on a bearing of 060 degrees. Find the distance and the bearing of Rome from Foggia
The triangle with vertices ar Rom, Napoli and Foggia is XYZ.
Let YX be perpendicular to XF, with W on XF.
We have ∠YPX = 130° - 90°= 40°, ∠ZYX = 60°, XW = RNcos40°= 170cos40°, ZW = NFsin60° =130sin60°
XZ = XW + ZW = 170cos40° + 130sin60° = 243 km.