Laws of cosines!!! find B round to the nearest tenth!!!! second time posting this help ASAP!!!

Mathematics

1 answer:

Nookie1986 [14]3 years ago

3 0

Answer:

32.7°

Step-by-step explanation:

Use the formula for law of cosines, for this question we need so solve for angle B, so use...

b² = a² + c² - 2(a)(c)Cos B

We are given a, b, and c, so plug them in...

55² = 90² + 50² - 2(90)(50)Cos B

Now simplify...

3,025 = 8100 + 2500 - (9000)Cos B

-7,575 = -(9000)Cos B (subtract 8100 and 2500 from both sides)

0.841666667 = Cos B (divide both sides by -9000)

Cos^(-1) 0.841666667 = B (use cosine inverse function on calculator)

32.68346376° = B

32.7° = B

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