$\begin{array}{1 1}30^{\large\circ}\\20^{\large\circ}\\10^{\large\circ}\\50^{\large\circ}\end{array} $

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Answer : $30^{\large\circ}$

Let us denote Earth, boy and rain with symbols A, B and C respectively. The question here provides the velocity of B and C with respect to A (Earth).

We need to determine the direction of rain (C) with respect to boy (B)

For the boy(B),the rain appears to fall,making an angle $"\theta"$ with the vertical (-y direction).

$\Rightarrow \tan\theta=\large\frac{V_{BA}}{V_{CA}}$

$\Rightarrow \large\frac{5\sqrt 3}{15}$

$\Rightarrow \large\frac{1}{\sqrt 3}$

$\Rightarrow \tan\theta=\tan 30^{\large\circ}$

$\theta=30^{\large\circ}$

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