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In ΔGHI, h = 820 inches,


m∠G=102° and

m∠H=10°. Find the length of g, to the nearest inch.

1 Answer

4 votes

Answer: g = 4619 in

Explanation:

Using law of sine

where


(a)/(sin A) =(b)/(sin B) Ths means the length of a side over the angle opposite that side= the length of another side over that opposite side

here h and <H are together and

g is with<G


(820)/(sin 10) =(g)/(sin 102) bring sin 102 to other side and plug into calc


g=(820 * sin102)/(sin 10)

g=4619 in this makes sense because <G is way bigger than <H, so it's corresponding side will be way bigger too.

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