Clouds

From two points A and B on the horizontal plane was observed forehead cloud above the two points under elevation angle 73°20' and 64°40'. Points A , B are separated by 2830 m. How high is the cloud?

Correct result:

x =  3662.055 km

Solution:

u1=73+20/60=220373.3333 u2=64+40/60=194364.6667 t1=tanu1=tan73.3333333333 =3.340233=3.34023 t2=tanu2=tan64.6666666667 =2.112335=2.11233 s=2830 a+b=s x=a t1=b t2 a t1=(sa) t2 a=s t2/(t1+t2)=2830 2.1123/(3.3402+2.1123)1096.3473 b=sa=28301096.34731733.6527 x=a t1=1096.3473 3.3402=3662.055 km



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