Question

Forces 160.5N horizontal and 173.5N vertical represents components of resultant
then the angle made by the resultant with vertical is
a) 42.770
b) 450
c) 47.220
d) 4.770​

Answer 1

The angle made by the resultant with vertical is 42.770.

Answer 2

Answer:

The angle made by the resultant with vertical is 42.770° i.e.option(a).

Explanation:

We will use the following relation to solve this question,

$tan\theta=\frac{F_V}{F_H}$           (1)

Where,

θ=angle made by vertical and horizontal components with each other

$F_V$=component of force along vertical direction

$F_H$=component of force along horizontal direction

From the question we have,

$F_V$=173.5N

$F_H$=160.5 N

By substituting the required values in equation (1) we get;

$tan\theta=\frac{173.5}{160.5}$

$tan\theta=1.080$

$\theta=47.220\textdegree$

The angle made by the resultant with vertical is,

$\theta'=90\textdegree - 47.220 \textdegree$

$\theta'=42.78\textdegree$

Hence, the closest answer among the given option is 42.770° .i.e.option(a).