Imagine a scenario where an observer on the ground is tracking the position of a hot air balloon. The observer is at point A, the balloon is at point B, and there is a mountain peak at point C. The observer measures the angle of elevation to the balloon as 30 degrees and the angle of elevation to the peak of the mountain as 45 degrees. 

Using this information and the distance (any distance, doesn’t matter) between the observer and the mountain peak, we can apply trigonometric concepts to find the height of the mountain and the altitude of the balloon. By setting up appropriate trigonometric equations using the sine and tangent rules, we can calculate these unknown distances in the triangle formed by points A, B, and C.