If the altitude of the sum is at $60^\circ$, then the height of the vertical tower that will cast a shadow of length 30 m is

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KollegeApply · Accepted Answer

Let h be the height of vertical tower AB Given that: altitude of sun is $60^\circ$ and shadow of length BC=30meters. Here, we have to find the height of tower. So we use trigonometric ratios. In a triangle ABC, $\Rightarrow$ tan C=(AB)/(BC) $\Rightarrow$ tan $60^\circ$=(AB)/(BC) $\Rightarrow$sqrt3=h/30 $\Rightarrow$h=30sqrt3 [Solution diagram: 63475_solution_1.png]

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