# \(\text{Trig! Or is it somethinge else?}\)

**Geometry**Level 5

A man of negligible height stands on a straight road. He observes that the \(greatest\) \(angle\) subtended on the road by two objects is \(90^\circ\).
From this point, he walks a distance of \(2km\) along the road. He then stops and observes the two objects form a \(straight\) \(line\) which subtends an angle of \(30^\circ\) with the road.
The distance between the two objects (\(in\) \(km\)) is \[\frac {a}{ \sqrt { b} }\].
\[\text{Find (a+b)} \]
**Details and Assumptions**:

- \(a\) and \(b\) are co-prime