Calculate how much land Felix Baumgartner saw after jumping from 36 km above the ground. The radius of the Earth is R = 6378 km.

Correct answer:

p =  0.28 %

Step-by-step explanation:

R=6378 km h=36 km  sin α = R:(R+h)  α=arcsin(R+hR)=arcsin(6378+366378)1.4648 rad ω=α  °=α π180   °=1.4648 π180   °=83.92666  °  (R+h)2 = a2+R2  a=(R+h)2R2=(6378+36)263782=12 3198 km678.6103 km  cos α = (v+h):a  v=a cosαh=678.6103 cos1.46483635.7979 km  S1=2π R v=2 3.1416 6378 35.79791434572.3083 km2 S2=4π R2=4 3.1416 63782511185932.5225 km2  p=100 S2S1=100 511185932.52251434572.3083=0.28%

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