Question

A City school is organizing Annual sports event in a rectangular shaped ground ABCD The tracks are being marked with a gap of I m each in the form of straight lines. 120 flower pots are placed with a distance of 1 m each along AD. Shruti runs 1/3rd of the distance in the second line along AD and post her flag. Saanvi runs 1/5th the distance AD in the eighth line and posts her flag.

(i) The distance between the two flags is
(ii) If Reena, another student of the school has to post the flag exactly halfway between the line segment joining the two flags, the coordinates where she should post her flag are-
(iii)The coordinates where Shruti posts her flag are
(iv) The coordinates where Saanvi posts her flag are
plssss answer as soon as possible

Answer 1

Given :  The tracks are being marked with a gap of I m each in the form of straight lines.

. 120 flower pots are placed with a distance of 1 m each along AD.  

Shruti runs 1/ 3 rd of the distance in the second line along AD and posts her flag

 Saanvi runs 1/ 5 th of the distance AD in the eighth line and posts her flag

To Find :   The distance between the two flags is

(i) 2 √73 (ii) 3 √73 (iii) √273 (iv) √73

(ii) If Reena, another student of the school has to post the flag exactly halfway between the line segment joining the two flags, the coordinates where she should post her flag are-

(iii)The coordinates where Shruti posts her flag are

(iv) The coordinates where Saanvi posts her flag are

Solution:

Shruti runs 1/ 3 rd of the distance in the second line along AD and posts her flag

=> (1/3) 120 = 40     and 2 nd line

Hence The coordinates where Shruti posts her flag are  ( 2 , 40)

 Saanvi runs 1/ 5 th of the distance AD in the eighth line and posts her flag

=> (1/5) 120 = 24    and 8th line

Hence  The coordinates where Saanvi posts her flag are (8 , 24)

Distance between ( 2 , 40) and (8 , 24)

= √(8 - 2)² + (40 - 24)²

= √6² + 16²

= 2√3² + 8²

= 2√73

flag exactly halfway between the line segment joining the two flags

( 2 , 40) and (8 , 24)

= ( 2 + 8)/2 , ( 40 + 24)/2

= 5 , 32

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