# Forces

In point O acts three orthogonal forces: F1 = 20 N, F2 = 7 N, and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2, and F3.

F =  28.5 N
α =  45.4 °
β =  75.8 °
γ =  48.1 °

### Step-by-step explanation:

$\alpha =\mathrm{arccos}\left(\frac{20}{F}\right)=45.4\text{°}$
$\beta =\mathrm{arccos}\left(\frac{7}{F}\right)=75.8\text{°}$
$\gamma =\mathrm{arccos}\left(\frac{19}{F}\right)=48.1\text{°}$ Did you find an error or inaccuracy? Feel free to write us. Thank you! Tips to related online calculators
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