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! I can't find file `tikzlibraryintersections.code.tex'.
<argument> ...nput tikzlibrary\pgf@temp .code.tex 
                                                  \catcode `\@ =\csname tikz...
l.3 \usetikzlibrary{intersections}
                                  
(Press Enter to retry, or Control-D to exit)

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{intersections} % siehe Tikz/pfg Doku 
\begin{document}

\begin{tikzpicture}
    \path [name path=upward line] (1,0) -- (1,1);
    \path [name path=sloped line] (0,0) -- (30:1.5cm);
    \draw [name intersections={of=upward line and sloped line, by=x}]
          [very thick,orange] (1,0) -- (x);
\end{tikzpicture}
% Besserers Bsp aus tikz/pdf Doku
\begin{tikzpicture}
\clip (-2,-2) rectangle (2,2);
\draw [name path=curve 1] (-2,-1) .. controls (8,-1) and (-8,1) .. (2,1); 
\draw [name path=curve 2] (-1,-2) .. controls (-1,8) and (1,-8) .. (1,2);
 \fill [name intersections={of=curve 1 and curve 2, name=i, total=\t}]
 [red, opacity=0.5, every node/.style={above left, black, opacity=1}] \foreach \s in {1,...,\t}{(i-\s) circle (2pt) node {\footnotesize\s}};
\end{tikzpicture}

\end{document}

\documentclass{article}
\usepackage{tikz}
\begin{document}

\begin{tikzpicture}
    \path [name path=upward line] (1,0) -- (1,1);
    \path [name path=sloped line] (0,0) -- (30:1.5cm);
    \draw [name intersections={of=upward line and sloped line, by=x}]
          [very thick,orange] (1,0) -- (x);
\end{tikzpicture}

\end{document}