Hot air balloon

The center of the balloon is at an altitude of 600 m above the ground (AGL). From habitat on earth is the center of the balloon to see in elevation angle 38°20' and the balloon is seen from the perspective of angle 1°16'. Calculate the diameter of the balloon.

Correct result:

D =  55.5071 m

Solution:

h=600 u1=38+20/60=115338.3333 u2=1+16/60=19151.2667 u3=u1+u2=38.3333+1.2667=1985=39.6 x=h/tanu1=h/tan38.3333333333 =600/tan38.3333333333 =600/0.790697=758.82371 tan(u2+u1)=(r+h)/x r=x tanu3h=x tan39.6 h=758.8237 tan39.6 600=758.8237 0.827272600=27.75357 D=2 r=2 27.7536=55.5071 m



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