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Nazinia is fly fishing in a stream. T...

Nazinia 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 h

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Description of the figure :
` C to` Tip of fishing rod DC
` AC to` stiring , `AF to` fly
Intially string was AC = `sqrt((180)^(2)+ (240)^(2))`
( by pythagores theorem)
` Rightarrow " " AC = sqrt(32400+57600)`
= 300 cm
BUT
When Nazima pulls in the string at the rate of 5cm/sec, she will pull ` 5xx 12 cm` in 12 sec. you can imagine that string will pull out 60 cm from C towards D. Now remaining string CA will become CG = 300-60=240 cm , because when string will pull in , its end point A as will as fly will move from A towards G. So, horizontal distance of fly at G ( now) from Nazima at E will be EG.
Now, ` GB^(2)= CG^(2)-CB^(2) ` ( by pythagoras theorem)
`= ( 240)^(2) - (280)^(2)= 57600-32400= 25200`
`GB = sqrt(25200) = 10sqrt(252)= 60sqrt7`
`= 60 xx 2.64575 = 158.745 cm `
Reqyuired distance = EG = GB + BE= 158.745 + 120
= 278.745 cm = 2.79 m ( approx).
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