Respuesta :

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.

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

 DF     =    DG    =    FG  

sin G        sin F       sin D

solve for side DF

 DF     =    FG  

sin G        sin D

 DF     =    20  

sin(57)      sin(48)

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

DF = 20 * sin(57)

           sin(48)

DF ≈ 22.6 units

solve for side DG

 FG     =    DG  

sin D        sin F

 20     =    DG  

sin(48)     sin(75)

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

DG = 20 * sin(75)

            sin(48)

DG ≈ 26 units

Ver imagen ricchad