Answer to Question #92607 in Civil and Environmental Engineering for nkamogeleng

Question

how to resolve force F=100N and angle of 30 degrees into its horizontal and vertical component

Answer 1

if the angle to the horizontal:

$$F_H=F*\cos(30°)\approx88.6 N$$

Horizontal component

$$F_V=F*\sin(30°)=50N$$

Vertical component;

if the angle to the vertical:

$$F_H=F*\sin(30°)=50 N \\F_V=F*\cos(30°)\approx88.6N$$