The formulas to calculate Horizontal and Vertical Forces are:
\[ F_x = F \cdot \cos(a) \]
\[ F_y = F \cdot \sin(a) \]
Where:
A horizontal force is a force that is applied parallel to the ground, such as pushing or pulling a box across the floor. A vertical force is a force that is applied perpendicular to the ground, such as holding a weight over your head. More specifically, a horizontal force is the x-component of a force vector, and a vertical force is the y-component of a force vector.
Let's assume the following values:
Using the formulas to calculate Horizontal and Vertical Forces:
\[ F_x = 100 \cdot \cos(30^\circ) \approx 100 \cdot 0.866 = 86.6 \text{ N} \]
\[ F_y = 100 \cdot \sin(30^\circ) \approx 100 \cdot 0.5 = 50 \text{ N} \]
The Horizontal Force (Fx) is approximately 86.6 N, and the Vertical Force (Fy) is approximately 50 N.