Answer:
The horizontal component is 37.74 N to east
The vertical component is 16.02 N to North
Step-by-step explanation:
Any slant vector has two components
→ Horizontal component = R cos Ф
→ Vertical component = R sin Ф
→ R is the magnitude of the vector
→ Ф is the direction of the vector with positive part of the horizontal axis
A slanted vector has a magnitude of 41 N and is at an angle of 23
degrees north of east
23° north of east means the angle between the vector and the
east direction is 23° (east is the positive horizontal direction)
That means R is 41 N and Ф is 23°
→ R = 41 N , Ф = 23°
→ The horizontal component = 41 × cos(23) = 37.74 N east
→ The vertical component = 41 × sin(23) = 16.02 N North
The horizontal component is 37.74 N to east
The vertical component is 16.02 N to North