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Sagot :
The value of sin G to the nearest hundredth is 0.91
The triangle EFG is a right angle triangle.
Properties of a right angle triangle:
- One angle is equals to 90 degrees.
- Pythagoras theorem can be use to find the sides
- The longest side is the hypotenuse side
Therefore,
c² = a² + b²
where
c = hypotenuse
a and b are the other two legs.
EF² = (√77)² - (√13)²
EF²= 77 - 13
EF = √64
EF = 8
Using trigonometric ratio,
sin G = opposite / hypotenuse
sin G = 8 / √77
sin G = 8 / 8.77496438739
sin G = 0.91168461167
sin G ≈ 0.91
learn more on triangles:https://brainly.com/question/24067382?referrer=searchResults
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