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Rain drops falls vertically at a speed of $20 m s^{- 1} .$ At what angle do they fall on the wind screen of a car moving with a velocity of $15 m s^{- 1}$ , if the wind screen velocity inclined at an angle of 23⁰ to the vertical?
$[\cot (\frac{4}{3}) \approx 37^{0}]$

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$60^{0}$

$30^{0}$

$45^{0}$

$90^{0}$

answer is A.

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Detailed Solution

Let the required angle is $θ .$

$\tan (90^{0} - θ) = \frac{20}{15}$

$∴ \cos θ = \frac{20}{15} = \frac{4}{3}$

$\Rightarrow θ = 37^{0}$

$∴ θ = 37^{0} + 23^{0} = 60^{0}$

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