To indirectly measure the distance across a lake, Moussa makes use of a couple landmarks at points \( L \) and \( M \). He measures \( K N, N L \), and \( N O \) as marked. Find the distance across the lake \( (L M) \), rounding your answer to the nearest hundredth of a meter.
(Diagram is not to scale.)
Answer Attempt 1 out of 2
\( L M= \) \( \square \) \( \mathrm{m} \)
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