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To a person travelling due East with vel...

To a person travelling due East with velocity u the wind appears to blow from an angle `alpha` North of East. When he starts travelling due North with velocity 2 u,the wind appears to blow from an angle `beta` North of East. Find the true direction of the wind.

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The correct Answer is:
[`theta WOS` where `tan theta = (1+2 cot alpha)/(2+tan beta)`]
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