Question

If vertical component of a vector is equal to its horizontal component, the angle made by the vector with x-axis?

• A. $0^0$
• B. ${45}^0$
• C. ${90}^0$
• D. ${120}^0$

Answer 1

Answer: (B)

${45}^0$

Let Vector is $R$,

$\therefore$ Vertical Component $V=Rsin\left(\theta \right)$ .......1

Horizontal Component $H=Rcos\left(\theta \right)$ .......2

Given that $V=H$,

Divide the equations 1 by 2,

$\Rightarrow \frac{sin\theta )}{cos\left(\theta \right)}=\frac{V}{H}$ $\Rightarrow tan\left(\theta \right)=1$,

$\therefore \theta ={45}^o$