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 =  368 42977835 = 2887577/7835 m

Step-by-step explanation:

A=266010=26+6010=6026 60+10=601570=615726.1667  B=296015=29+6015=6029 60+15=601755=4117=29.25   l=92 m h=x tan(B) h=(x+l) tan(A) x tan(B)=(x+l) tan(A) x tan(B)=x tan(A)+l tan(A) x=l tanA°/(tanB°tanA°)=l tan26.166666666667° /(tan29.25° tan26.166666666667° )=92 tan26.166666666667° /(tan29.25° tan26.166666666667° )=92 0.491339/(0.5600270.491339)=658.09059 m h=x tanB°=x tan29.25° =658.0906 tan29.25° =658.0906 0.560027=368.54844 m  h=h2=(x+l) tanA°=(x+l) tan26.166666666667° =(658.0906+92) tan26.166666666667° =(658.0906+92) 0.491339=368.548 m=368.5484 m



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