Question

Find the length of theside labeled x. Roundintermediate values tothe nearest tenth. Usethe rounded values tocalculate the next value.Round your final answerto the nearest tenth.2668°42°X

Answer 1

Let the height of the triangle be h

`\begin{gathered} tan68=(26)/(h) \\ h=(26)/(tan68) \\ h=10.504 \end{gathered}`
`\begin{gathered} tan42=(h)/(x) \\ tan42=(10.504)/(x) \\ x=(10.504)/(tan42) \\ x=11.667 \\ x=11.7\text{ \lparen nearest tenth\rparen} \end{gathered}`