We need to find:
[tex]\cot\varphi[/tex]We have the following configuration:
Also:
[tex]\cot\varphi=\frac{\text{ adjacent leg}}{\text{ opposite leg}}[/tex]In this problem, we have:
[tex]\begin{gathered} \text{ adjacent leg }=49.5 \\ \\ \text{ opposite leg }=29.0 \end{gathered}[/tex]Thus, we obtain:
[tex]\cot\varphi=\frac{49.5}{29.0}\cong1.7[/tex]Therefore, the answer is approximately 1.7.