GATE Civil Engineering
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The lengths and bearings of a traverse PQRS are:

$$\begin{array}{|c|c|c|}\hline \text{Segment}&\text{Length}\:(m)  &\text{Bearing}\\\hline PQ&40&80^\circ{} \\\hline  QR&50&10^\circ{} \\\hline RS&30&210^\circ{}\\\hline\end{array}$$

The length of line segment SP (in $m$, round off to two decimal places), is  __________
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