PLEASE HELP WITH TRIG PROBLEM
2 answers:
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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