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Find x round to the nearest tenth

Find x round to the nearest tenth-example-1
User Ramilol
by
4.2k points

1 Answer

5 votes

Answer: angle X = 70.5 degrees

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Work Shown:

Law of Cosines

c^2 = a^2 + b^2 - 2ab*cos(C)

22^2 = 20^2 + 18^2 - 2*20*18*cos(X)

484 = 724 - 720*cos(X)

484 + 720*cos(X) = 724

720*cos(X) = 724 - 484

720*cos(X) = 240

cos(X) = 240/720

cos(X) = 1/3

X = arccos(1/3)

X = 70.528779

X = 70.5

Make sure your calculator is in degree mode.

User Varun Rao
by
4.7k points