A Shadowy Tale

• Amit• Deepak• Sajin• Satish• Danish

Class VIIIKishore Bharati School

Objective• How to determine the height of a

telephone pole or a tree or a big building without climbing the top.

• How to apply the concept of Ratio-Proportion in our day to day life.

• How the concept of graph help us to find a relationship between two objects/events.

• Some in depth knowledge about important places in our city.

• We worked in a group of five.

• We researched over internet to find ways to resolve the problem.

• We interviewed masons to understand their ways of measurements.

• We visited different famous monuments and towers of our city.

• We collected information relevant to our project.

Procedure

• Measuring Tape

• Sunshine

Tools Used

Activity 1

• We first chose two friends from our group and measured their heights and the length of their shadows at 11.00 a.m.

• Then we recorded those data in a table as shown below :-

Sl. No.

Name of the Students

Height In cm

Length of the Shadow in cm

1 Amit 160.02 76.2

2 Deepak 162.56 78.2

• Then we put the measurements of height and length of shadow of the 1st boy (Amit) & the length of the shadow of the 3rd boy (Sajin) in the given formula, in order to find the height of the 3rd boy as shown below.

• Formula:- Height of the 1st boy Height of the 3rd boy (x)

=

Length of the shadow of 1st boy Length of the shadow of 3rd boy

Height of the Sajin (x) = (160.02X78) /76.2

= 163.8cm

Similarly ,

Height of the Satish=(162.56x75)/78.2

=155.91cm

Activity 2

Activity 3

Sl.No.

Name of the Students

Length of the shadow in cm.

calculated Height in cm.

3 Sajin 163.8 78

4 Satish 155.91 75

Similarly we measured the length of shadow of Satish & calculated his height & tabulated it:-

0

20

40

60

80

100

120

140

160

180

Amit Deepak Sajin Satish

Length of theshadow

Height

Measurementin cm

Height Vs Length of Shadow

Activity 4• Next day we divided ourselves in groups and went to visit some famous local

monuments like Victoria Memorial, Shahid Miner & Calcutta TV tower, exactly at 11.00 am & there we measured the shadows of those monuments using measuring tape & noted down those data in the following way:-

• Place – Kolkata• Time – 11.00 a.m.

Sl.no. Name of place Length of shadow

Calculated Height

1 Victoria Memorial 2670cm 5607cm.

2 Shahid minar 2285cm. 4798.5cm

3 Golf Green TV tower 827cm. 1736.7cm

We, then, collected the following information from net.• Original height of Victoria Memorial=5608.32cm

• Original height of Shahid Minar is= 4800cm

• Original height of Kolkata TV tower is=1737.36cm

Activity 5

Vic

toria

Mem

oria

l

Sah

id M

inar

T.V

.Tow

eroriginal height

calculated height01000200030004000

5000

6000

original height

calculated height

Hei

ght

in c

ms

Original Vs Calculated Height

What did we get?

0

1000

2000

3000

4000

5000

6000

name of places

me

as

ure

me

nt

in c

m

Length of theshadow

calculated Hheight

Original Height

Findings• We realised that there is a definite relation between

height of an object & their shadow at a particular time (morning, noon, evening).

• We understood that , how the theoretical concept of Ratio-Proportion can be applied to real life situation.

• It became clear to us how graphs help us to represent two or more events simultaneously.

• We also understood how graphs help us to compare two or more data & find the error factors.

• Also how it helps us in taking any decisions.• Awareness about the famous places situated in our

city.

Acknowledgements

• www.mclc.osu.edu

• http://img181.imageshack.us

• www.flickr.com

• http://www.panoramio.com

• http://themut.com

• www.mapsofindia.com

• www.chromasia.com