In △DEF, ∠D = 42°, ∠E = 58°, EF = 15. DF = ______. (Rounded to the nearest tenth.)
Answer & Analysis
Analysis
Question Analysis
In , we know two angles (, ) and one side (). Our aim is to find side using the Law of Sines.
Key Concept Explanation
The Law of Sines states that in any triangle (similarly for ), . That is, the ratio of the length of a side to the sine of its opposite angle is the same for all three sides of the triangle.
Step - by - Step Solution
1. First, identify the values for the Law of Sines formula. We know ,
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