Answer:
R = 8.33 km
, θ = 64.9⁰
Explanation:
For this exercise, we can see the attachment.
The resulting displacement can also be found analytically, for this we find the displacement on each axis
Let's start with decompile [put the second displacement (L)
sin 45 = y2 / L
cos45 = x2 / L
y2 = L sin 45
x2 = L cos45
y2 = 5 sin 45 = 3.54 km
x2 = 5 cos 45 = 3.54 km
The components of the displacements are
X = x2
X = 3.54 km
Y = y1 + y2
Y = 4 + 3.54
Y = 7.54 km
In module this displacement is
R = √ X² + Y²
R = √ 3.54² + 7.54²
R = 8.33 km
We look for the angle with trigonometry
tan θ = Y / X
θ = tan⁻¹ Y / X
θ = tan⁻¹ 7.54 / 3.54
θ = 64.9
