Answer:
Step-by-step explanation:
Triangle DOG is a right angle triangle.
From the given right angle triangle,
DG represents the hypotenuse of the right angle triangle.
With m∠G as the reference angle,
OG represents the adjacent side of the right angle triangle.
DO represents the opposite side of the right angle triangle.
To determine DG, we would apply
the sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 72 = 8.2/DG
DGSin72 = 8.2
DG = 8.2/Sin72 = 8.2/0.9551
DG = 8.59 to the nearest hundredth