Answer:
11.6°
Explanation:
In ΔGHI, g = 3.4 cm, i = 8.2 cm and ∠I=29°. Find all possible values of ∠G, to the nearest 10th of a degree.
We solve the above question using Law of Sines
= g/sin G = I / sin I
Substituting
= 3.4/ sin G= 8.2/ sin 29
Cross Multiply
3.4 × sin 29 = sin G × 8.2
sin G = 3.4 × sin 29/ 8.2
G = arc sin[3.4 × sin 29/ 8.2]
G = arcsin [0.2]
G = 11.59653°
Approximately = 11.6°
∠G = 11.6°