Applying the law of sines, the value of g, to the nearest tenth, is: g = 61.2 in.
What is the Law of Sines?
The law of sines is expressed as: f/sin F = g/sin G = h/sin H.
Given the following:
- f = 39 inches
- m∠H = 122°
- m∠F = 22°
Find m∠G:
m∠G = 180 - 122 - 22 = 36°
Applying the law of sines, we have:
g/sin 36 = 39/sin 22
g = (39 × sin 36)/sin 22
g = 61.2 in.
Thus, applying the law of sines, the value of g, to the nearest tenth, is: g = 61.2 in.
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