Question

Analyze the diagram below and complete the instructions that follow.

Find the exact value of sin(O)

Answer 1

C. 12/13

Step-by-step explanation:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

c = 13

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sin = opp/hyp

sinO = 12/13

Answer 2

Answer: C) 12/13

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Step-by-step explanation:

Use the pythagorean theorem

a^2+b^2 = c^2

to find that c = 13 when a = 12 and b = 5.

So that makes the hypotenuse MO = 13 units long.

The opposite side is MN = 12 units long as this side is furthest we can get from angle O.

The sine ratio involves opposite over hypotenuse

sin(angle) = opposite/hypotenuse

sin(O) = MN/MO

sin(O) = 12/13