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.
Use the diagram to complete the statements.

The measure of angle L is
°.

The trigonometric ratio that uses ∠M and LN to solve for NM is
.

The length of NM, to the nearest tenth, is approximately
.

Respuesta :

Angle L: 70°

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

NM = 57.7 [nearest tenth]

How to Apply the Trigonometric Ratios?

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]

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Answer:

70, tangent, 57.7

Step-by-step explanation: