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A bird is flying up at an angle $\sin^{- 1} (\frac{3}{5})$ with the horizontal. A fish in a pond looks at that bird when it is vertically above the fish. The angle at which the bird appears to fly (to the fish) is: $[n_{w a t e r} = \frac{4}{3}]$

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$\sin^{- 1} (\frac{3}{5})$

$45^{0}$

$\sin^{- 1} (\frac{4}{5})$

$\sin^{- 1} (\frac{9}{16})$

answer is C.

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Detailed Solution

$\bar{V}$ actual of bird $= V \cos 37^{0} \hat{i} + V \sin 37^{0} \hat{j}$

No change in horizontal component

$\bar{V}$ app w.r.t fish $= V \cos 37^{0} \hat{i} + μ V \sin 37^{0} \hat{j}$

$V \cos 37^{0} \hat{i} + \frac{4}{3} \times V \frac{3}{5} \hat{j} = \frac{4}{5} V \hat{i} + \frac{4}{5} V \hat{j}$

$∴$ Bird appears to fly at $45^{0}$ to horizontal.

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