Question

3. To conduct Sports Day activities, in
your rectangular shaped school
ground ABCD, 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
1
in Fig. 7.12. Niharika runs th the
4
distance AD on the 2nd line and
1
posts a green flag. Preet runs th
5
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?​

Answer 1

Step-by-step explanation:

Here, given that there are 100 flowers between A & D at 1m distance each

D

1th Niharika runs of the distance 4

AD on 2nd line

N(2, 25)

B

1

6

7

8

9

10

So, Niharika x-ordinate = 2

Niharika y - ordinate = x 100 = 25

So, Niharika (2, 25)Similarly,

Preet runsth of the distance AD on 2nd line

D

So, Preet x-ordinate = 8

Preet y-ordinate 1 x 100 = 20

So, Preet (8, 20)

N(2,25)

P8,

20)

We have to find distance between Niharika and Preet's flag

1

2

3

4

5

6

7

8 9

10

m

Using distance formula

NP = V (xz − xi)2 + (y2 - y)

X₁ = 2, Y₁ = 25

X₂ = 8, Y₂ = 20

Putting values in formula.

NP = √√(82)² + (20 − 25)²

= √(6)²+(-5)²

= (6)² + (5)²

= √36 +25

=√61 =

Hence,

The distance between both flags = √61 metre

Substituting the value in the formula

X = x₁ + x₂ 2

2+8 2 X =

y = V₁ + V₂ 2

25+ 20 2

10 2 X =

45

x = 5

y = 22.5

x = 5, y = 22.5

Therefore,

Rashmi (x, y) = (5, 22.5)

Therefore Rashmi would post her flag in the 5th line at 22.5 metre