* By, Marwa SalaheddineDeeb.

*By, Marwa Salaheddine Deeb.

*3rd3 / . *3rd / 3 .

* To, Miss TahaniAbdulrahman.

*To, Miss Tahani Abdulrahman.

MathematicsMathematics

Cluster ( D ) Cluster ( D ) ResearchResearch

I dedicate my research to my dear parents, my I dedicate my research to my dear parents, my

father and my mother, who faced a lot of tired father and my mother, who faced a lot of tired

in order to see me stepping my final steps in in order to see me stepping my final steps in

school's school's

trip.trip.

Baba & MamaBaba & Mama .. I hope to get a full mark in .. I hope to get a full mark in

this research to dedicate it for you.this research to dedicate it for you.

Thanks a lot my dear parentsThanks a lot my dear parents....

First, this mathematics research is First, this mathematics research is

about vectors. Vectors have a very about vectors. Vectors have a very

importance in our life, that's why I importance in our life, that's why I

chose a problem from our nature, chose a problem from our nature,

which is calculating the height of Big which is calculating the height of Big

Ben clock.Ben clock.

I started by analyze the givens of the I started by analyze the givens of the

problem, and drawing a simple problem, and drawing a simple

sketch with real measures, and then I sketch with real measures, and then I

chose the best rules and solve itchose the best rules and solve it . .

Susan and Jorge stand 38 Susan and Jorge stand 38

m apart. From Susanm apart. From Susan’’s s

position, the angle of position, the angle of

elevation to the top of Big elevation to the top of Big

Ben is 65˚. From JorgeBen is 65˚. From Jorge ’’s s

position, the angle of position, the angle of

elevation to the top of Big elevation to the top of Big

Ben is 49.5˚. To the Ben is 49.5˚. To the

nearest meter, * nearest meter, * how how

tall is Big Bentall is Big Ben??

Susan and Jorge stand 38 Susan and Jorge stand 38

m apart. From Susanm apart. From Susan’’ s s

position, the angle of position, the angle of

elevation to the top of Big elevation to the top of Big

Ben is 65˚. From JorgeBen is 65˚. From Jorge ’’ s s

position, the angle of position, the angle of

elevation to the top of Big elevation to the top of Big

Ben is 49.5˚. To the Ben is 49.5˚. To the

* ,nearest meter * ,nearest meter how how

tall is Big Bentall is Big Ben??

??

Finally, I would like to say Finally, I would like to say

that vectors are used in that vectors are used in

types of mathematics and types of mathematics and

can represent anything with can represent anything with

a direction and a magnitude. a direction and a magnitude.

For example, temperature For example, temperature

changes, directions you changes, directions you

move, and a lot of examples move, and a lot of examples

are far more abstractare far more abstract..