using trig to find side

Answer :

We can relate angles and sides using trigonometric ratios.

In this case, we know So we can write:

[tex]\begin{gathered} \sin (\angle E)=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{FG}{EF} \\ \sin (46\degree)=\frac{91}{EF} \\ EF=\frac{91}{\sin (46\degree)} \\ EF\approx\frac{91}{0.719} \\ EF\approx126.5 \end{gathered}[/tex]

Answer: EF = 126.5 ft

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