# Determine the magnitude of F1 and its direction 4

Determine the magnitude of F1 and its direction θ so that the resultant force is directed vertically upward and has a magnitude of 800 N. Image from: Hibbeler, R. C., S. C. Fan, Kai Beng. Yap, and Peter Schiavone. Statics: Mechanics for Engineers. Singapore: Pearson, 2013.

### We will first draw the vector components as follows. ## 4 thoughts on “Determine the magnitude of F1 and its direction”

• Jordan Tyme

Hello. Please may you show me How to solve simultaneously
F1sin=133.6
F1cos=240
Thank you very much

• questionsolutions Post author

To do so, you only need to remember that sin/cos = tan. So you can isolate eq.1 for F1, and then substitute that back into the other equation. You will then get an equation where it’s sin/cos, which is tan, and you can plug it into your calculator. If you need more help, please let me know, thanks! 🙂

• Kylernimo

Thank you so much you I really understood

• questionsolutions Post author

I am really glad to hear that!