Answer
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Step 1:I will solve the problems based on the given information and images.
Since I cannot see the images, I'll assume the information provided in the text is complete.
Step 2:
LN^2 = LM^2 + MN^2
In the diagram, we can see that $LN$ is the third side of a triangle with two known sides.
Step 3::
\begin{align*} LN^2 &= (22)^2 + (15)^2 \ &= 484 + 225 \ &= 709 \end{align*}
Step 4::
\begin{align*} LN &= \sqrt{709} \ &\approx 26.63 \end{align*}
Final Answer
\begin{align*} LN &= \sqrt{709} \ &\approx 26.63 \end{align*}
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