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irina1246 [14]
2 years ago
6

Find f. write your answer as an integer or as a decimal rounded to the nearest tenth.

Mathematics
1 answer:
Blizzard [7]2 years ago
7 0

In the give diagram, the value of f is 6.0

<h3>The Law of sines </h3>

From the question, we are to determine the value of f

Using the law of sines, we can write that

\frac{f}{sinF} =\frac{e}{sinE}

From the given information,

F = 27°

e = 13

E = 98°

Putting the parameters into the equation, we get

\frac{f}{sin(27)} =\frac{13}{sin(98)}

\frac{f}{0.4540} =\frac{13}{0.9903}

f=\frac{13 \times 0.4540}{0.9903}

f = 5.9598

f ≅ 6.0

Hence, the value of f is 6.0

Learn more on Law of sines here: brainly.com/question/19149891

#SPJ1

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