Pls answer as soon as possible

Pls answer as soon as possible 2 Leela and Geeta are standing exactly opposite to each other on the two banks of a 24 metre wide river. Leela moves 18 metres upstream and Geeta moves 14 metres downstream. How far are they from each other? (Note: Consider the river to be flowing straight and the banks of the river are parallel to each other.) Answer metres

Dear Student

Given, 24metre wide river
Let the initial point of Leela be L
and, the initial point of Geeta be G
Distance between them = 24m
​​​​​​


Leela moves 18m in the upward direction, so let her final point be M and,
Geeta moves 14m downward direction, so let her final point be H



Let N be the point opposite to M, and I be the point opposite to H



It is clear that MNHI is a rectangle with
MN = LG = IH = 24m
LM = GN = 18m
GH = LI = 14m

Now, for rectangle MNHI
MN = IH = 24m
MI = NH = ML + LI = NG + GH
or, MI = 18m + 14m
or, MI = NH = 32m



Now, the distance between their final position = distance between M and H
Since MH is the diagonal of the rectangle
Therefore MH2 = MI2 + IH2
Or, MH2 = 322 + 242
Or, MH2 = 1024 + 576 = 1600
Or, MH = √(1600)
MH = 40m

Therefore the distance between Leela and Geeta's final position is 40m

Regards

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