SOLUTION: In triangle DEF measure angle D equals 35, DE equals 6.3, and EF equals 7.5. to the nearest 10th what is measure angle F.
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-> SOLUTION: In triangle DEF measure angle D equals 35, DE equals 6.3, and EF equals 7.5. to the nearest 10th what is measure angle F.
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Question 1077164: In triangle DEF measure angle D equals 35, DE equals 6.3, and EF equals 7.5. to the nearest 10th what is measure angle F. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! It helps to draw this
EF is d, the side opposite to the angle D
Law of Sines
7.5/sin 35=6.3/sin F
13.08=6.3/sin F
sin F=6.3/13.08=0.4817
take the arc sin of that
28.79 degrees
Check partially by noting that angle E should be 116.21 degrees and e should be the longest side
13.08=e/sin E
e=11.74 or 11.7 to nearest tenth,
This isn't proof, but it is suggestive.
