Solution
- The sketch of the scenario is
- We can find the value of x using the sine rule. This is done below:
[tex]\begin{gathered} \frac{x}{\sin115}=\frac{100}{\sin30} \\ \\ \therefore x=\frac{100\times\sin115}{\sin30} \\ \\ x=181.26156m \end{gathered}[/tex]- After finding the value of x, we can apply SOHCAHTOA, as follows:
[tex]\begin{gathered} \sin35=\frac{h}{x}=\frac{h}{181.26156} \\ \\ \therefore h=181.26156\times\sin35 \\ \\ h=103.9674m \end{gathered}[/tex]Final answer
The vertical height of the bridge is 103.9674m
