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shusha [124]
2 years ago
15

Triangle L N M is shown. Angle L N M is 90 degrees and angle N M L is 20 degrees. The length of L N is 21.

Mathematics
1 answer:
horsena [70]2 years ago
4 0

Angle L: 70°

The trigonometric ratio used to solve for NM is the tangent ratio.

NM = 57.7 [nearest tenth]

<h3>How to Apply the Trigonometric Ratios?</h3>

Using the triangle sum theorem, find angle L.

Angle L = 180 - 90 - 20 = 70°

Using the tangent ratio, we can use  ∠M and LN to solve for NM

Tan 20 = 21/NM [tan ∅ = opposite/adjacent]

NM = 21/tan 20

NM = 57.7 [nearest tenth]

Learn more about the trigonometric ratio on:

brainly.com/question/10417664

#SPJ1

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learn more here: brainly.com/question/7245260

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