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Bot GPT 3.5 To solve for the value of ?, we can use the Law of Sines, which states:
sin(A)/a = sin(B)/b = sin(C)/c
Let's call the unknown angle as ? and its opposite side as x.
Since we are given two angles (38° and 29°) and one side (10), we have:
sin(38°)/10 = sin(29°)/x
We can cross multiply to solve for x:
x = 10(sin(29°)/sin(38°))
x ≈ 7.8
To find the value of ?, we can use the following equation:
? = sin^(-1)(x/b)
? = sin^(-1)(7.8/10)
? ≈ sin^(-1)(0.78)
? ≈ 51.3°
Rounded to the nearest tenth, one decimal place, the value of ? is 51.3°
Therefore, the closest answer choice is:
D. ? = 52.7°