Question

One of the rectangular components of a vector of magnitude $50$ unit is $25$ unit. The angle it makes with this component is

• A. ${30}^{\circ }$
• B. ${60}^{\circ }$
• C. ${45}^{\circ }$
• D. ${37}^{\circ }$

Answer 1

The correct option is B ${60}^{\circ }$

Let the vector is $\overrightarrow{a}$ such that $\left|\overrightarrow{a}\right|=50units$

$a_x=25units$

So,

$a\cos \theta =a_x$

$50\cos \theta =25$

$\cos \theta =\frac{1}{2}$

$\theta ={60}^0$