Question

In ΔGHI, h = 820 inches,

�
m∠G=102° and
�
m∠H=10°. Find the length of g, to the nearest inch.

Answer 1

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.