MHB Determine the unknown angle (using the sine law)

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Using the sine law, the calculated angle Θ is 68 degrees, with a second possibility of 112 degrees. However, the textbook indicates the answers should be Θ = 68 degrees and Θ = 23 degrees. The discussion confirms that the initial calculations were correct, suggesting a misunderstanding of the sine law's application. The discrepancy likely arises from the need to consider the sine function's properties and the range of possible angles. The conversation concludes with agreement on the correctness of the calculations.
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So using the sine law, I found that Θ = 68 degrees. And the I found that the other possibility of Θ would be 112 degrees (180 - 68 = 112). However, the textbook says that the answers are Θ = 68 and Θ = 23. What did I do wrong?

Thanks.
 

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I agree with your result, rounded to the nearest degree. You did everything correctly. :D
 
MarkFL said:
I agree with your result, rounded to the nearest degree. You did everything correctly. :D

Alright, thanks! (:
 

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