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1 Answer

5 votes

Answer:

  • 39°
  • 27°
  • 28°

Explanation:

1.


Hypotenuse = 32\\Adjacent = 25\\Angle\:\alpha \:=?\\Using \: SOHCAHTOA ;\\Cos \:\alpha = (adj)/(hyp) \\Cos \:\alpha = (25)/(32)\\\\\alpha = Cos^-^1(25)/(32) \\\alpha =38.62\\\\\alpha = 39

2.


Opposite = 8\\Adjacent = 16\\\alpha =?\\Using SOHCAHTOA\\Tan\:\alpha = (opp)/(adj) \\Tan\:\alpha = (8)/(16) \\Tan \:\alpha =1/2\\\alpha = Tan^-^11/2\\\\\alpha =26.56\\\alpha =27

3.


Hypotenuse = 41\\Opposite = 19\\\alpha = ?\\Using\: SOHCAHTOA\\Sin\:\alpha = (opp)/(hyp) \\Sin \:\alpha =(19)/(41)\\\\\alpha =Sin^-^1 (19/41)\\\\\alpha =27.6\\ \alpha =28

User Zacjordaan
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