From Mechanics
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Using \displaystyle {{F}^{2}}={{H}^{2}}+{{V}^{2}}
Substituting the given values
\displaystyle \begin{align}
& {{F}^{2}}={{9}^{2}}+{
{{\left( -10 \right)}^{2}}
}=181 \\
& F=13\textrm{.}5\ \text{N} \\
\end{align}