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2 years ago

What is the approximate value of k?

Mathematics

1 answer:

lesya692 [45]2 years ago

6 0

Hello from MrBillDoesMath!

Answer:

5.06

Discussion:

Angle J = 180 - (120 + 40) = 180 - 160 = 20 degrees,

From the law of sines

sin(120)/k = sin(20)/2 =>

sin(120) = k * ( sin(20)/2) ) (multiply both sides by "k")

k = sin(120)/ ( sin(20)/2) (divide both sides by sin(20)/2)

k = (0.866) / ( 0.171) = 5.06

Regards,

MrB

P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

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