Given DOG, find DG. Round your answer to the nearest hundredth.
1 answer:
Answer:
DG = 31.75
Step-by-step explanation:
The question is incomplete; however, I'll answer your question using attached image.
From the attachment,
<G = 72° and DO = 8.2
Required
DG?
To get the length of side DG, We have to look for a trigonometric ratio that relates DG, DO and <G together.
DG represents the hypothenus of the triangle;
DO represents the opposite of the triangle;
The two sides are bound by the sine function.
i.e.
Sin72° = DO/DG
Sin72° = 8.2/DG
Multiply both sides by DG
DG * Sin72 = 8.2/DG * DG
DG * Sin72 = 8.2
Sin72 = 0.2538
So, DG * Sin72 = 8.2 becomes
DG * 0.2538 = 8.2
Divide both sides by 0.2583
DG * 0.2583/0.2583 = 8.2/0.2583
DG = 8.2/0.2583
DG = 31.746031746
DG = 31.75 --- Approximated
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