Clouds

Approximately at what height is the cloud we see under an angle of 26°10' and see the Sun at an angle of 29°15' and the shade of the cloud is 92 meters away from us?

Correct answer:

h =  366.7593 m

Step-by-step explanation:

A=26+10/60=157626.1667 B=29+16/60=4391529.2667 l=92 m h=x tan(B)=366.7593 m h=(x+l) tan(A) x tan(B)=(x+l) tan(A) x tan(B)=x tan(A)+l tan(A) x=l tanA/(tanBtanA)=l tan26.166666666667 /(tan29.266666666667 tan26.166666666667 )=92 tan26.166666666667 /(tan29.266666666667 tan26.166666666667 )=92 0.491339/(0.5604090.491339)=654.44923 m h=x tanB=x tan29.266666666667 =654.4492 tan29.266666666667 =654.4492 0.560409=366.7593 m h2=(x+l) tanA=(x+l) tan26.166666666667 =(654.4492+92) tan26.166666666667 =(654.4492+92) 0.491339=366.759 m



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