## Nazima is fly fishing in a stream. The tip of her fishing rod is 1.8 m above the surface of the water and the fly at the end of the string rests on the water 3.6 m away and 2.4 m from a point directly under the tip of the rod. Assuming that her string ( from the tip of her rod to the fly) is taut, how much string does she have out (see fig.) ? If she pulls in the string at the rate of 5 cm per second, what will the horizontal distance of the fly from her after 12 seconds ?

Solution : Let O be the position of nazima at the time of fishing. Let OA be the rod and AB be the string. Height of the tip of rod above sea level. i.e. AC = 1.8 m The distance of the fly from the girl = 3.6 m i.e. OB = 3.6 m …