InterviewSolution
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InterviewSolution
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To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in figure. Niharika runs (1)/(4) th the distance AD on the 2nd line and posts a green flag. Preet runs (1)/(5) th the distance AD on the eighth line and posts a red flag. What is the distance between both the flags ? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag ? |
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Answer» Solution :From the above figure, the position of green flag posted by NIHARIKA is `M(2, (1)/(2)XX100)i.e., ` `M(2, 25)` and red flag posted by Preet is `N(8,(1)/(5)xx100)i.e., N(8, 20)` Now, `MN=sqrt((8-2)^(2)+(20-25)^(2))=sqrt((6)^(2)+(-5)^(2))=sqrt(36+25)=sqrt(61)` Hence, the distance between FLAGS = `sqrt(61)` m Let P be the position of the blue flag posted by Rashmi in the halfway of line segment MN.  `therefore" "P` is given by = `((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2))=((2+8)/(2), (25+20)/(2))=((10)/(2), (45)/(2))=(5, 22.5)` Hence, the blue flag is on the fifth line at a distance 22.5 m above it. |
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