Question

What is the value of G? Round only your answer to the nearest tenth.

Answer 1

For this problem we need the definition of law of sines
$\frac{ \sin(a) }{a} = \frac{ \sin(b) }{b} = \frac{ \sin(c) }{c}$
therefore we can evaluate our knowns:

<G =74° with side unknown g
<H=58° with side 54

so we can set up the proportion
$\frac{ \sin(74) }{g} = \frac{ \sin(58) }{54}$
then cross multiply and get the value of g

$g \times \sin(58) = 54 \times \sin(74)$
therefore we get the value of g as

$61.2 \: yards$