The length of shadow of a tower on the plane ground is $\sqrt$(3) times the height of the tower. The angle of elevation of sun is

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KollegeApply · Accepted Answer

Let the angle of elevation of the sun be $\theta$. Suppose AB is the height of the tower and BC is the length of its shadow. It is given that, BC = $\sqrt$(3)AB In right ∆ABC, \tan$\theta$ = AB/BC \Rightarrow \tan$\theta$ = AB/$\sqrt$(3)AB = 1/$\sqrt$(3) \Rightarrow \tan$\theta$ = \tan$30^\circ$ \Rightarrow $\theta$ = $30^\circ$ Thus, the angle of elevation of the sun is 30º. [Solution diagram: 63588_solution_1.png]

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