NIMCET 2026 — Mathematics PYQ

An engineer standing at a point $P$ wishes to determine the width of a new rectangular pond. She finds the distance to the western-most point $A$ of the pond from $P$ to be $60\text{m}$, while the distance to the northern-most point $B$ of the pond from $P$ is $80\text{m}$. If the angle between the two lines of sight at $P$ is $60^{\circ }$, then the width $AB$ (in metres) of the pond is (AB is not parallel to line of North-South)