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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

 Jun 18, 2020
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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.

 

Yay!

 Jun 18, 2020

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