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

`( \sin(a) )/(a) = ( \sin(b) )/(b) = ( \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

`( \sin(74) )/(g) = ( \sin(58) )/(54)`
then cross multiply and get the value of g


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


`61.2 \: yards`