A person standing on an open ground hears the sound of a jet...

A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle

{60}^{o}

with ground level, but he finds the aeroplane right vertically above his position. If

v

is the speed of sound, speed of the plane is: A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle 60 ^ o with

A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle 60 ^ o with

Options

A $\dfrac{2v}{\sqrt{3}}$
B $v$
C $\dfrac{v}{2}$
D $\dfrac{\sqrt{3}}{2}v$

Correct answer

C. $\dfrac{v}{2}$

Step-by-step solution

\dfrac{d}{{v}_{s}} = \dfrac{dcos{60}^{o}}{{v}_{a}}

{v}_{a} = \dfrac{{v}_{s}}{2} = \dfrac{v}{2}

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