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

Solution

Let the height of the triangle be h

$\begin{gathered} tan68=\frac{26}{h} \\ h=\frac{26}{tan68} \\ h=10.504 \end{gathered}$$\begin{gathered} tan42=\frac{h}{x} \\ tan42=\frac{10.504}{x} \\ x=\frac{10.504}{tan42} \\ x=11.667 \\ x=11.7\text{ \lparen nearest tenth\rparen} \end{gathered}$