Considering the smaller triangle
[tex]\begin{gathered} tan\theta\text{ = }\frac{opposite}{\text{adjacent}} \\ \tan \theta\text{ = }\frac{2}{3} \\ \theta=tan^{-1}(\frac{2}{3})=33.69Degrees^{} \end{gathered}[/tex]Considering the bigger triangle
[tex]\begin{gathered} \tan \text{ (33.69) =}\frac{x}{42} \\ \frac{2}{3\text{ }}=\text{ }\frac{x}{42} \\ x\text{ = }\frac{42\text{ }\times2}{3} \\ x\text{ = 28m} \end{gathered}[/tex]The length of the ferris wheel is 28meters
