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4vir4ik [10]
4 years ago
10

PLEASE!!!!Solving for Measures of Right Triangles:

Mathematics
2 answers:
Dima020 [189]4 years ago
8 0
Angle L = 70
The ratio is = tangent
The length of NM is = 57.7
pentagon [3]4 years ago
7 0

We know, by angle-sum property, that ∠L + ∠M+ ∠N = 180°

∠L + 20°+ 90° = 180°

∠L = 180° - 110° = 70°

For angle ∠M, side LN is opposite side and side NM is adjacent side.

So, the trigonometric ratio which uses these sides is tangent.

In Δ LMN,

tan 20 = \frac{21}{NM}

0.364 NM = 21

NM = 21/0.364

NM = 57.7 rounded to nearest tenth.

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