1 Answer

Soraphis · Answer 1 · 2023-01-20T02:34:30+0000

From the given picture, we can relate sides a and x by means of the tangent function as follows:

$\tan 41=(x)/(a)$

by moving a to the left hand side, we have

$\begin{gathered} a\cdot\tan 41=x \\ or\text{ equivalently} \\ x=a\cdot\tan 41 \end{gathered}$

since a=45 and tan41=0.869, we get

$\begin{gathered} x=45*0.869 \\ x=39.118 \end{gathered}$

Then, by roundinf the nearest hundredths the answer is 39.12

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