This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
100 m
Here are the solutions to the problems:
: From a point O in the school compound, Adoolu is 100m away on a bearing of N E and Ibrahim is 80m away on a bearing of S W.
Let O be the origin. Let A be Adoolu's position and I be Ibrahim's position.
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Problem 2: From a point O in the school compound, Adoolu is 100m away on a bearing of N 35^ E and Ibrahim is 80m away on a bearing of S 55^ W.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.