Arturo O. answered • 07/26/17

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h = height of observation deck = 330 m

R = radius of earth = 6,400,000 m

d = distance from observation deck to horizon = ?

You have a right triangle of hypotenuse R + h, and perpendicular sides of length d and R

(R + h)

^{2}= R^{2}+ d^{2}R

^{2}+ 2Rh + h^{2}= R^{2}+ d^{2}2Rh + h

^{2}= d^{2}d = √(2Rh + h

^{2}) = √[2(6,400,000)(330) + (330)^{2}] m ≅ 64,993 m = 64.993 km(2)

That is a sphere or radius r centered at A.