Trigonometry allows finding that the results for the displacement components are:
x = 45.4 m
y = -12.2 m
Displacement is a vector quantity, so it has both a magnitude and a direction.
The direction can be given with respect to the cardinal points, in this case the East coincides with the positive part of the x-axis and the North with the positive part of the y-axis.
In the attached we can see a vector diagram and its components.
Indicate that the displacement is d = 47 m and the direction is 15 S of E.
Angles are generally measured from the positive side of the x-axis in a counterclockwise direction.
θ = 360 -15
θ = 345º
Let's use trigonometry to find the components of the displacement.
cos 345 = [tex]\frac{x}{d}[/tex]
sin 345 = [tex]\frac{y}{d}[/tex]
x = d cos 345
y = d sin 345
Let's calculate.
x = 47 cos 345
x = 45.4 m
y = 47 sin 345
y = -12.2 m
The negative sign indicates that the displacement is towards the South.
In conclusion using trigonometry we can find the results for the displacement components are:
x = 45.4 m
y = -12.2 m
Learn more here: brainly.com/question/20305157
