melissanacole melissanacole
  • 14-03-2020
  • Mathematics
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#7 PLEASE Find missing side length to UM.round answer to nearest tenth

7 PLEASE Find missing side length to UMround answer to nearest tenth class=

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vedsoni1996
vedsoni1996 vedsoni1996
  • 14-03-2020

Answer:

UM = 17.09 ft

Step-by-step explanation:

Use the Sine Rule:

[tex]\frac{UL}{sin(M)} = \frac{LM}{sin(U)} = \frac{UM}{sin(L)}[/tex]

Use the 2nd and third expressions to equate (the angles are in degrees)

[tex]\frac{27}{sin(108)} = \frac{UM}{sin(37)}[/tex]

UM = 17.09 ft

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