g:\panitia\presentation earth as a sphere

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MATHEMATICS FORM 5

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Earth As A Sphere

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Page 1: G:\Panitia\Presentation Earth As A Sphere

MATHEMATICS FORM 5

Page 2: G:\Panitia\Presentation Earth As A Sphere
Page 3: G:\Panitia\Presentation Earth As A Sphere

NORTH POLE

SOUTH POLE

EASTWEST

LONGITUDELATITUDE

MALAYSIA●

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Great circle is any circle that passes through the north and the south poles or with the center as the centre of the earth.

GREAT CIRCLE

●O

N

S

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One-half of a great circle joining the North and the South Poles is called a meridian.

SS

N

● OO

Longitude of a meridian is determined by the angle between its plane and the plane for Greenwich Meridian (east or west).

Greenwich Meridian 0 o

LONGITUDE

Page 6: G:\Panitia\Presentation Earth As A Sphere

Example :

G is stated on the Greenwich Meridian .

L is 80o to the right of G.

So the longitude of L is 80o E.

K is 60o to the left of G.

So the longitude of K is 60o W.

K and M is a diameter of a circle centred C.

KCM = 180o .

So Longitude M is 120o E

N

Page 7: G:\Panitia\Presentation Earth As A Sphere

EXERCISE 1: State the longitude of (a) dan (b)

(a) 100o E / 100o W

(b) 80o E/ 180o W

(a)

(b)

N

E

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Where is our country, Malaysia stated ?

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The Great Circle which the plane are perpendicular to the poles is known as the equator

Marked as 0o

North directionN

S

0o

South direction

•The circle with plane which are parallel to the equator plane is known as parallel of latitude

LATITUDE

Page 10: G:\Panitia\Presentation Earth As A Sphere

Latitude

Get further information about latitude and longitude at the following address:

http://www-spof.gsfc.nasa.gov/stargaze/Slatlong.htm

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Latitude Of a Point

Latitude is an angle at the centre of the earth that subtended by a meridian beginning from the equator to the parallel of latitude which is either to the North or to the South of the equator.

Latitude A is 50o N●A

Latitude B is 10o S ●B

NORTH

SOUTH

EQUATOR

Page 12: G:\Panitia\Presentation Earth As A Sphere

N NN

N

S

SS S

Look at the angle made by equator plane and parallel latitude 60o N

The angle between the equator plane and the north plane is 90o

Page 13: G:\Panitia\Presentation Earth As A Sphere

Example :

Based on the diagram, O is the centre of the earth

State the latitude of point

(a) W (b) X (c) Y

Solution:

(a) W is 72o to the north equator.

So the latitude for W is 72o N.

(b) X is 65o to the south equator

So the latitude for X is 65o S.

(c) Y is located at the same parallel latitude with W. Thus, latitude for Y is 72o U.

Page 14: G:\Panitia\Presentation Earth As A Sphere

Exercise 2 : State the latitude of the following

point :

1. Latitude Q is 3. Latitude L is

Q

N

2. Latitude P is

68 o N 55 o N 68 o N 68 o S55o S 55o N

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Location Of A Place

Location of a place at the surface of the earth can be determine by its latitude and longitude

For example, based on the above figure Paris is located at point P

Location of Paris is written as (48o 50’ N,20o 20’ E)

What is the location of Q ?

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LONGITUDE = 100O E

LATITUDE = 5O N

MALAYSIA ( 5O N, 100O E )

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E1 E 2

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E1 E2