Uluru

Geometry Level 4

Uluru is a large flat rock in the middle of Australia. Three tourists \(A\), \(B\) and \(C\) are viewing a certain point at the top. \(A\) is located directly north of Uluru, \(C\) is located directly east and \(B\) is along the line of sight of \(A\) and \(C\). It is known that the angle of elevation for the respective tourists \(A\), \(B\) and \(C\) are \(26^{\circ}\), \(28^{\circ}\) and \(30^{\circ}\). Find the bearing of \(B\) in degrees to the nearest non-negative integer.

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