From a point O in the school compound, Adeolu is 100m away on a bearing of 35°E and Ibrahim is 80m away on a bearing of S 55°W. a How far apart are both boys? b What is the bearing of Adeolu from Ibrahim in three figures?

Here are the solutions to the problems:

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From a point O in the school compound, Adoolu is 100m away on a bearing of N $35^\circ$ E and Ibrahim is 80m away on a bearing of S $55^\circ$ W.

Let O be the origin. Let A be Adoolu's position and I be Ibrahim's position.

• OA = 100 m
• Bearing of A from O = N $35^\circ$ E. In three-figure bearing, this is $035^\circ$.
• OI = 80 m
• Bearing of I from O = S $55^\circ$ W. To