Question

A vector in xy - plane has a magnitude of $25m$ and magnitude of x - component is $20m$. The angle it makes with the positive x - axis is

• A. ${26}^{\circ }$
• B. ${29}^{\circ }$
• C. ${37}^{\circ }$
• D. ${53}^{\circ }$

Answer 1

The correct option is C ${37}^{\circ }$

Component of vector in x - direction is given as $20m$ and from diagram we can say that,
$25\cos \theta =20$
$\cos \theta =\frac{20}{25}=\frac{4}{5}$

$\theta ={37}^{\circ }$