At an instant, the length of the shadow of a pole is , √3 times the height of the pole. The angle of elevation of the Sun at that moment is ?->(Show Answer!)

1. At an instant, the length of the shadow of a pole is , √3 times the height of the pole. The angle of elevation of the Sun at that moment is

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By: anil on 05 May 2019 01.57 am

Let height of pole = AB = $$h$$ Length of shadow = BC = $$x$$ Angle of elevation of sun = $$angle$$ACB = $$ heta$$ = ? Acc to ques : $$x = sqrt{3} h$$ In $$ riangle$$ABC => $$tan heta = frac{AB}{BC}$$ => $$tan heta = frac{h}{x}$$ => $$tan heta = frac{h}{sqrt{3} h} = frac{1}{sqrt{3}}$$ => $$ heta$$ = 30°

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