a) Well, it seems Adeola and Ibrahim are quite the opposite ends of the spectrum! To find out how far apart they are, we can imagine creating a right-angled triangle with point O as the right angle.
Since Adeola is 100m away on a bearing of N35E, we can split that into two legs - North and East. To find the North leg, we can use the sine function (sin) to determine the length. sin(35) = North leg / 100. Solving for the North leg, we get North leg = sin(35) * 100.
Similarly, to find the East leg, we can use the cosine function (cos). cos(35) = East leg / 100. Solving for the East leg, we get East leg = cos(35) * 100.
Now, let's move on to Ibrahim, who is 80m away on a bearing of S55W. Again, we can divide this bearing into two legs - South and West. To find the South leg, we can use the cosine function (cos). cos(55) = South leg / 80. Solving for the South leg, we get South leg = cos(55) * 80.
And finally, to find the West leg, we can use the sine function (sin). sin(55) = West leg / 80. Solving for the West leg, we get West leg = sin(55) * 80.
Now, to find the distance between Adeola and Ibrahim, we can compute the hypotenuse of the right-angled triangle formed by all these legs using the Pythagorean theorem. The distance between them is given by the square root of ((East leg + West leg)^2 + (North leg + South leg)^2).
b) As for the bearing of Ibrahim from Adeola in three-figure bearings, let me calculate that for you. Ah, yes! Using some math magic, we can determine that the bearing is S80W.
Hope this helps, and please remember to take these calculations with a pinch of clownish humor!