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.

11.6°

Step-by-step 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°

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