The side of a lake has a uniform angle of elevation of 15degrees
30minutes. How far up the side of the lake does the water rise if,
during the flood season, the height of the lake increases by 7.3
feet?

Respuesta :

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.

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