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

Correct answer:

h =  368.5484 m

Step-by-step explanation:

α=26°10=26°+6010°=26.1667°26.1667 β=29°15=29°+6015°=29.25°=29.25 l=92 m  h = x   tan β h = (x+l)   tan α x   tan β = (x+l)   tan α x   tan β = x  tan(A) + l   tan α x=l tanα/(tanβtanα)=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 tanβ=x tan29.25° =658.0906 tan29.25° =658.0906 0.560027=368.54844 m  h2=(x+l) tanα=(x+l) tan26.166666666667° =(658.0906+92) tan26.166666666667° =(658.0906+92) 0.491339=368.548 m

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