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Answer :

Given a right angle triangle

We need to find the angle x

As shown:

The opposite side to the angle x = 6

The adjacent side to the angle x = 11

So, we will find x using the tan function as follows:

[tex]\begin{gathered} \tan x=\frac{opposite}{adjacent}=\frac{6}{11} \\ \\ x=\tan ^{-1}\frac{6}{11}\approx28.61 \end{gathered}[/tex]

rounding to the nearest tenth

x = 28.6