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

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
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