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In ΔLMN, n = 510 cm, l = 820 cm and ∠M=20°. Find ∠L, to the nearest degree

Sagot :

Batolisisidn

The angular measure L is : 47°

What are angles?

Angles are formed when two lines meet.

Analysis:

Firstly, we calculate for m using cosine rule.

[tex]m^{2}[/tex] = [tex]510^{2}[/tex] + [tex]820^{2}[/tex] -2(510)(820) cos 20

[tex]m^{2}[/tex] = 260100 + 672400 -83600(0.9396)

[tex]m^{2}[/tex] = 146618.56

m = [tex]\sqrt{146618.56}[/tex] = 382.9cm

using sine rule to find ∠L

382.9/sin20 = 820/sinL

sinL = 820sin20/382.9

sinL = 820(0.342)/382.9

sinL = 0.732

L = sin inverse of 0.732 = 47°

In conclusion, ∠L is 47°

Learn more about sine and cosine rule: brainly.com/question/4372174

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