The document certifies the completion of an art integrated project in mathematics by a student of class X B during the academic year 2021-2022, highlighting the learning experience and gratitude towards various supporters. It also provides demographic and cultural information about Uttarakhand, including its population growth, languages, and religious composition according to the 2011 Census. Additionally, it discusses Ram Jhula, a notable bridge in Rishikesh, and includes a mathematical example using trigonometry related to the bridge's structure.

1. 2021-2021
MATHS ART
INTEGRATEDPROJECT
NAME:
CLASS: XB

2. CERTIFICATE
This is to certify that the Art Integrated
Project of Mathematics is a record of
genuine work carried out by (name), of
class X B during the academic year 2021-
2022 under my guidance and have been
completed successfully.
Date : 25-02-2022
Place : KV

3. ACKNOWLEDGEMENT
I AM GLAD THAT I HAD THIS OPPORTUNITY TO TAKE UP THIS PROJECT. IT
HAS BEEN A GREAT LEARNING EXPERIENCE. I HAVE ENJOYED DOING THIS
PROJECT AND IT HAD ALLOWED ME TO EXPLORE THE NEW ARENA OF
KNOWLEDGE. I WOULD LIKE TO TAKE THIS OPPORTUNITY TO EXPRESS MY
GRATITUDE TO ALL THOSE PEOPLE WHO HELPED ME IN COMPLETING THIS
PROJECT, DIRECTLY OR INDIRECTLY.
I WOULD LIKE TO EXPRESS MY DEEP SENSE OF GRATITUDE TO OUR
MATHEMATICS TEACHER FOR PROVIDING CONSTANT SUPPORT, REQUIRED
GUIDANCE AND THE ASSISTANCEIN COMPLETINGTHE PROJECT.
I OWE MY SINCERE THANKS TO RESPECTED THE PRINCIPAL IN-CHARGE, KV
FOR GIVING ME THIS OPPORTUNITY, TO TAKE UP THIS PROJECT, ALL NECESSARY
ADMINISTRATIVE SUPPORT AND TO OUR LIBRARY IN-CHARGE FOR ALLOWING
ME TOACCESS RESOURCES FROM LIBRARY.

4. LAST BUT NOT LEAST; I THANK MY PARENTS FOR BEING SUPPORTIVE IN
ALL MY ENDEAVOURS AND TO ALL MY FRIENDS FOR THEIR TIMELY HELP AND
COOPERATION.
DATE : 25-02-2022
PLACE : KV KENDRIYA VIDYALAYA
ABOUT UTTARAKHAND
Uttarakhand formerly known as Uttaranchal is a state in the northern
part of India. It is often referred to as the "Devbhumi"
("Land of the Gods") due to numerous Hindu temples and pilgrimage
centers found throughout the state. The natives of the state are
generally called Uttarakhandi, or more specifically either Garhwali or
Kumaoni by their region of origin. A major section of the people in
Uttarakhand are Hindus.
Uttarakhand is known for the natural environment of the Himalayas,
the Bhabar and the Terai regions and is known for its beautiful Garhwali
and Kumaoni culture.

6. UTTARAKHAND POPULATION
According 2011 census of India, uttrakhand’s population has reached
approximately 1.01 crorewith an increaseof 19.17 percent fromthepast
decade. Uttarakhand feeds approximately 0.84% of India’s population.
As per census report of uttarakhand, thetotalpopulation of thestate is
10,116,752; of which male and female are 5,154,178and 4,962,574,
respectively which has increased from84, 89,349. Thetotalpopulation of the
stateas per census 2001 where43, 25,924weremales and 41, 63,425were
females.
With regards to sex ratio, the statehas demonstrated that it has thebetter
indicators thanthenationalaverages. As per census 2011, uttarakhands sex ratio
stands out at 963 which was at 962 in 2001 and fares better as compared
toaveragesex ratioof india (940).
Population of uttarakhand for years 2001, 2011 and 2021 (projected) are:-
Description 2001 2011 2021
Approx. population 0.84 crores 1.01 crores 1.15 crores
Actual population 8,489,349 10,086,292 11,486,292
Male 4,325,924 5,137,773 5,837,773
Female 4,163,425 4,948,519 5,648,519
PopulatonGrowth (%) 19.20% 18.81% 12.17%
SexRatio 962 963 968

7. 0
0.2
0.4
0.6
0.8
1
1.2
1.4
2001 2011 2021
Population bar garph of uttarakhand
0
1000000
2000000
3000000
4000000
5000000
6000000
7000000
2001 2011 2021
female
male

8. MEAN
The mean male and female population of uttarakhand in the year 2021 would be:
Mean= sum of all the observations/total number of observations
= 5837773 +5648519/2
= 11486292/2
=5743146
959
960
961
962
963
964
965
966
967
968
969
2001 2011 2021
sex ratio of uttarakhand
sex ratio of uttarakhand

9. District Division Population in 2011
Census
Chamoli Garhwal 391,605
Dehradun Garhwal 1,696,694
Pauri Garhwal Garhwal 687,271
Haridwar Garhwal 1,890,422
Rudraprayag Garhwal 242,285
Tehri Garhwal Garhwal 618,931
Uttarkashi Garhwal 330,086
Almora Kumaon 622,506
Bageshwar Kumaon 259,898
Champawat Kumaon 259,648
Nainital Kumaon 954,605
Pithoragarh Kumaon 483,439
Udham Singh Nagar Kumaon 1,648,902

10. Languages in Uttarakhand
Hindi
Garhwali
kumaoni
urdu
punjabi
bengali
jaunsari
nepali
bhojpuri
others
Religion in Uttarakhand
hinduism
islam
sikhism
christianity
buddhism
jainism
others or not stated

11. Languages in
Uttarakhand
Hindi 43.37%
Garhwali 23.03%
Kumaoni 19.94%
Urdu 4.22%
Punjabi 2.61%
Bengali 1.50%
Jaunsari 1.35%
Nepali 1.05%
Bhojpuri 0.95%
Others 1.98%
THE MEASURES OF CENTRAL TENDANCY
MEAN
To find the mean of the different languages spoken in uttarakhand:
Mean=sum of all the observations/total number of observations
= 43.37+23.03+19.94+4.22+2.61+1.50+1.35+1.05+0.95+1.98/10
= 100/10
= 10
MODE
Since all the observations haveoccurred once, the mode would be:
0.95, 1.05,1.35, 1.50, 1.98, 2.61,4.22, 19.94,23.03,43.37

12. MEDIAN
Median = [(n/2)th
term+ {(n/2)+1}th
]/2
=[10/2 + {(10/2)+1}]/2
=5+6/2
=11/2
=5.5th
observation
Thus, median is 2.61.

13. RAM JHULA – ONE OF THE MOST
FAMOUS BRIDGES IN UTTARAKHAND
Ram Jhula is an iron suspension bridgeacross theriver Ganges, located 3
kilometres (1.9 mi) north-eastfrom the town Rishikesh in the Indian state
of Uttarakhand. The bridge connects the Sivananda Nagar area of Muni Ki
Reti in Tehri Garhwaldistrict to Swargashramin PauriGarhwaldistrict crossing
the river fromwestto east. Built in the year 1986, thebridge is one of the iconic
landmarks of Rishikesh.
Total length: 229m
Say, a person is standing in the middle of the bridgeand looking at the top of the
pole at the end of the bridge, such that the angle of elevation is 60 degrees, so
how do we find the height of the pole?

14. In order to do that, we have,
The length of bridge= 229m
Length of the bridge to its midpoint= 229/2m
Angle of elevation= 60 degrees
So now, weknow that,
Tan theta = perpendicular/base
So, tan 60=perpendicular/229/2=root3
Perpendicular = 114.5x1.73
=198.085m
Thus the height of the pole is 198.085
(Note:the valuestaken are not exact)
Trigonometry can be very usefulin our everyday lives justlike we used it above.