A particle starting from the origin (0,0) moves in a straight lin… - Vidyadip

MCQ

A particle starting from the origin $(0,0)$ moves in a straight line in the $(x, y)$ plane. Its coordinates at a later time are $(\sqrt 3,3)$ . The path of the particle makes with the $x -$ axis an angle of ....... $^o$

A
$0$
B
$30$
C
$45$
✓
$60$

✓

Answer

Correct option: D.

$60$

d
Let $\theta$ be the angle which the particle makes with an $x$ $-axis.$

From figure,

$\tan \theta=\frac{3}{\sqrt{3}}=\sqrt{3}$

or, $\theta=\tan ^{-1}(\sqrt{3})=60^{\circ}$

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