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If rain falls vertically with a velocity \( \mathrm{V}_{\mathrm{r}} \) and wind blows With a velocity \( v_{w} \) from east to west, then a person standing on the roadside should hold the umbrella in the direction
(a) \( \tan \theta=\frac{V_{w}}{V_{r}} \)
(b) \( \tan \theta=\frac{V_{\mathrm{r}}}{\mathrm{V}_{\mathrm{w}}} \)
(c) \( \tan \theta=\frac{\mathrm{V}_{\mathrm{rw}}}{\sqrt{\mathrm{Vr}^{2}+\mathrm{Vw}^{2}}} \)
(d) \( \tan \theta=\frac{\mathrm{V}_{\mathrm{r}}}{\sqrt{\mathrm{Vr}^{2}+\mathrm{Vw}^{2}}} \)
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