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lines have been drawn with chalk powder at a distance of 1m each. 100 flower pots have been placed at a distance of 1m from each other along AD, as shown in Fig. 7.12. Niharika runs 1/4 th the distance AD on the 2nd line and posts a green flag. Preet runs 1/5th the distance AD on the eighth line and posts a red flag. What is the distance between both 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?
Question
It can be observed that Niharika posted the green flag at of the distance AD i.e., = 25 m from thestarting point of 2nd line. Therefore, the coordinates of this point G is (2, 25)
Similarly, Preet posted red flag at of the distance AD i.e., = 20 m from the starting point of 8th line. Therefore, the coordinates of this point R are (8, 20)
Distance between these flags by using distance formula = GR
= [(8 – 2)2 + (25 – 20)2]1/2
= (36 + 25)1/2
The point at which Rashmi should post her blue flag is the mid-point of the line joining these points. Let this point beA (x,y)
Hence, A (x, y) = (5, 22.5)
Therefore, Rashmi should post her blue flag at 22.5m on 5th line
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