Question

Given DOG, find DG. Round your answer to the nearest hundredth.

Answer 1

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