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Talja [164]
3 years ago
9

PLEASE HELP WITH TRIG PROBLEM

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
6 0

Step-by-step explanation:

Angle G = 180° - 48° - 75° = 57°

By Sine rule, FG/sinD = DG/sinF = DF/sinG.

Hence DF = 22.57 units and DG = 25.99 units.

vaieri [72.5K]3 years ago
6 0

Answer:

DF ≈ 22.6 units

DG ≈ 25.9 units

Step-by-step explanation:

1st step is to get the ∠G

  • ∠G = 180 - 48 - 75
  • ∠G = 57°

2nd step is by using law of sines

<u>  DF  </u>   =  <u>  DG  </u>  =  <u>  FG  </u>

sin G        sin F       sin D

<u>solve for side DF</u>

<u>  DF  </u>   =  <u>  FG  </u>

sin G        sin D

<u>  DF  </u>   =  <u>  20  </u>

sin(57)      sin(48)

DF * sin(48) = 20 * sin(57)

DF = <u>20 * sin(57)</u>

           sin(48)

DF ≈ 22.6 units

<u>solve for side DG</u>

<u>  FG  </u>   =  <u>  DG  </u>

sin D        sin F

<u>  20  </u>   =  <u>  DG  </u>

sin(48)     sin(75)

DG * sin(48) = 20 * sin(75)

DG = <u>20 * sin(75)</u>

            sin(48)

DG ≈ 26 units

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