Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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

Sagot :

batolisis

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

#SPJ1

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.