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help pls i am being timed on a quiz

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nuhulawal20

In analyzing the given diagram which is a combination of two right angle triangle, the value of sin∠L is 5/13.

What is the value of sin∠L?

Given that angle ONM is a right angled triangle, we can find length of OM using the Pythagorean theorem.

c = √( a² + b² )

OM = √( 4² + 3² )

OM = √( 16 + 9 )

OM = √25

OM = 5

Next, angle OML is also a right angled triangle, we can get the hypotenuse LO.

c = √( a² + b² )

LO = √( OM² + ML² )

LO = √( 5² + 12² )

LO = √( 25 + 144 )

LO = √169

LO = 13

Now, to get sin∠L, we use the mnemonic: SOHCAHTOA

sinθ = opposite / hypotenuse

sin∠L = OM / LO

sin∠L = 5/13

Therefore, in analyzing the given diagram which is a combination of two right angle triangle, the value of sin∠L is 5/13.

Learn more about Pythagorean theorem here: brainly.com/question/343682

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