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Triangle L N M is shown. Angle L N M is a right angle. Angle N L M is 70 degrees and angle N M L is 20 degrees. The length of hypotenuse L M is 8. Rounded to the nearest tenth, what is the length of LN? sin(20°) = StartFraction L N Over 8 EndFraction (8)sin(20°) = LN = LN

Respuesta :

Answer:

2.7

Step-by-step explanation:

its the answer trust me

The length of LN is equal to 2.74

Data;

  • angle NLM = 70 degrees
  • angle NML = 20 degrees
  • LM = 8
  • LN = ?

Trigonometric Ratio

To solve this problem, we can use trigonometric ratio on this which is SOHCAHTOA.

Since the opposite is NM and hypothenuse is LM and adjacent is LN, we can use sine angle to solve this problem.

[tex]sin \theta = \frac{opposite}{hypothenuse} \\[/tex]

let's substitute the values and solve.

[tex]sin 20 = \frac{LN}{8} \\LN = 8 sin 20\\LN = 2.74[/tex]

The length of LN is equal to 2.74

Learn more on trigonometric ratio here;

https://brainly.com/question/11967894

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