Answer:
11.6 feet
Step-by-step explanation:
-ΔKLM is a right angle triangle.
-The missing ∠K=90-31=59° and it corresponds to length LM
-We apply the Law of Sines to determine the length LM:
[tex]\frac{a}{Sin \ A}=\frac{b}{Sin \ B}\\\\\frac{LM}{Sin \ 59\textdegree}=\frac{7}{Sin\ 31\textdegree}\\\\LM=\frac{7\ Sin 59\textdegree}{Sin \ 31 \textdegree}\\\\=11.65\approx11.6\ ft[/tex]
Hence, LM has a length of 11.6 feet.
