Step-by-step explanation:
Using Trigonometry,
tan33° = Opposite/Adjacent = GF/DF.
Therefore GF = DF * tan33°
= 235tan33° = 152.6.
Angle GEF = Angle EDG + Angle DGE
= 33° + 34° = 67°. (Exterior Angle Theorem)
Using Trigonometry,
sin67° = Opposite/Hypotenuse = GF/EF.
Therefore EF = GF / sin67°
= 152.6 / sin67° = 165.8.
Hence the answer is the 1st option.
