Answer:
27.32 feet
Step-by-step explanation:
This can be solved using law of sines, where
[tex]\frac{SinA}{a}=\frac{SinB}{b}=\frac{SinC}{c}[/tex]
(Sin 15.5) = [tex]\frac{7.3}{x}[/tex]
x = [tex]\frac{7.3}{(Sin 15.5)}[/tex]
x = [tex]\frac{7.3}{0.267238376}[/tex]
= 27.3164 ≈ 27.32 feet
The lake raises about 27.32 feet up the shoreline.