The tallest inhibited building in the world is the Eiffel Tower in Paris. If the observation tower is 30963 m above ground level, how far can a person standing in the observation tower see ( using a telescope ) ? Use 3960 miles for the radius of Earth.
See Shuk's Diagram ( the figure below ).
[ 1 miles = 1609.34 metre ]
Your answer should be in the unit of metre ( m )
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( R + h ) 2 = R 2 + x 2
x 2 = 2 h R + h 2
x = 2 h R + h 2 ⇒ x = 6 2 8 9 7 7 . 9 m
R=Radius of Earth (Assuming it is a sphere)
h=Height of tower
x=Length of tangent from top of tower on Earth