Question

Find B round to the nearest tenth!!!! laws of cosines!!!!​

Answer 1

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)