From Panther Academy

By Ana Areiza, Shafi Ahsanul, Romeris Rosario and Kendrick Nunez

Apply Eratosthenes Measurements between Paterson, NJ, USA and Kuantan, Malaysia.

Students at PANTHER Academy have used the trigonometric method with the shadow length to measure

the circumference of the earth. They came up with very accurate results. Students interacted with various

cities and schools around the world in Malaysia, USA and France. The project was a great success.

T he dista nce bet ween

Pat erso n and Kuat an

The Sun

is 4130 Km.

Paterson

The Earth

Kuantan

Stick

Time

Casted

City

Latitude

Longitude

Shadow`s

Angular

Latitudes

The earth

Height

Shadow

Length

Angle

Separation

Distance

circumference

Paterson

New Jersey

40.9169N

74.1725W

77.4 cm

USA

100 cm

12:30

37.70

37.170

4130 Km.

39997.2 km

PM

Kuantan,

Pahang

3.81°N

103.33°E

101cm

01 cm

0.560

Malaysia

The circumference of earth =

The circumference of earth=

= 39997.2 km

r =

= 6365.75 km

Such as, x1= shadow length in Paterson, x2= shadow length in Kuantan, L= the Length of the ruler stick (100 cm),

is the shadow angle in Paterson,

is the shadow angle in Kuantan.

= is the angular separation between Paterson and Kuantan.

r= is the radius of the earth, C= is the circumference of the earth.

After communicating with a group of students in Malaysia. Students have col ected information about latitude and

gratitude in addition to their shadow angle. Students went out of the classroom to measure Paterson`s sun shadow.

After shadow`s measurement in Paterson, USA our students have concluded the result that the circumference of earth

is about 39997.2 km which is close to NASA`s information 40,705 km.

Students have learned how to apply pre-calculus and calculus to our real life situation.

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