Respuesta :

Answer:

[tex] f = 12.7 [/tex]

Step-by-step explanation:

Given:

<H = 94°

FG = h = 15

<F = 58°

GH = f = ?

Use the law of sines to find f:

[tex] \frac{f}{sin(F)} = \frac{h}{sin(H)} [/tex]

[tex] \frac{f}{sin(58)} = \frac{15}{sin(94)} [/tex]

[tex] \frac{f}{0.848} = \frac{15}{0.998} [/tex]

[tex] \frac{f}{0.848} = 15.03 [/tex]

Multiply both sides by 0.848

[tex] \frac{f}{0.848}*0.848 = 15.03*0.848 [/tex]

[tex] f = 15.03*0.848 [/tex]

[tex] f = 12.74544[/tex]

[tex] f = 12.7 [/tex] (nearest tenth)

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