In the give diagram, the value of f is 6.0
The Law of sines
From the question, we are to determine the value of f
Using the law of sines, we can write that
[tex]\frac{f}{sinF} =\frac{e}{sinE}[/tex]
From the given information,
F = 27°
e = 13
E = 98°
Putting the parameters into the equation, we get
[tex]\frac{f}{sin(27)} =\frac{13}{sin(98)}[/tex]
[tex]\frac{f}{0.4540} =\frac{13}{0.9903}[/tex]
[tex]f=\frac{13 \times 0.4540}{0.9903}[/tex]
f = 5.9598
f ≅ 6.0
Hence, the value of f is 6.0
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