My 25 followers problem
A man walks along a straight road and observes that the greatest angle subtended by two objects is \(\alpha\); from the point where this greatest angle is subtended he walks a distance \(c\) along the road, and finds that the two objects are now in a straight line which makes an angle \(\beta\) with the road.
Find the distance between the two objects upto three decimal places.
Details and assumptions:
Hint: Generalise, then specialise.
This problem is not original and has been taken from a book by S. L. Loney.
This problem is part of my set: Geometry