From the given picture, we can relate sides a and x by means of the tangent function as follows:
[tex]\tan 41=\frac{x}{a}[/tex]
by moving a to the left hand side, we have
[tex]\begin{gathered} a\cdot\tan 41=x \\ or\text{ equivalently} \\ x=a\cdot\tan 41 \end{gathered}[/tex]
since a=45 and tan41=0.869, we get
[tex]\begin{gathered} x=45\times0.869 \\ x=39.118 \end{gathered}[/tex]
Then, by roundinf the nearest hundredths the answer is 39.12
