Answer to Question #88564 in Trigonometry for Vero

Question

Calculate llF1ll and llF2ll when delta=150 degrees and theta=30 degrees.

Answer 1

For example, if we look at the picture below:

where the net force is 40 N, the magnitude of forces F1 and F2 will be (consider using projections):

$$|F_1|=\frac{40}{2\text{cos}30^\circ}=23\text{ N},$$

$$|F_2|=\frac{40}{2\text{cos}(180^\circ-150^\circ)}=23\text{ N}.$$