eumurilloalvare eumurilloalvare
  • 21-03-2018
  • Mathematics
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Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle.



AB = 8
BC = 4
CD =

Using the technique in the model above find the missing segments in this 306090 right triangle AB 8 BC 4 CD class=

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carlosego
carlosego carlosego
  • 21-03-2018
For this case what you should do is use the following trigonometric relationship:
 sin (x) = C.O / h
 Where
 x: angle
 C.O: opposite leg
 h: hypotenuse
 Substituting the values we have:
 sen (60) = CD / BC
 sen (60) = CD / 4
 CD = 4 * sin (60)
 CD = 3.46
 Answer: 
 CD = 3.46
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