teehartinegr teehartinegr

10-08-2020
Mathematics

contestada

Use the Law of Sines to find the missing angle of the triangle.

Find m < C to the nearest tenth if the c= 102, a = 71 and m < A=40

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person123466 person123466

11-08-2020

Answer:

66.9 degrees

Step-by-step explanation:

The Law of Sines states that a/sinA = c/sinC. Plugging in the values for c, a, and M < A, we get:

71/sin40 = 102/sinC

Cross multiplying, we get:

102(sin40deg) = 71(sinC)

Now, we simplify the left side and get:

65.56 = 71(sinC)

Next, we divide 65.56 by 71 to get:

0.92 = sinC

Taking the inverse sign we get:

C = 66.9 degrees

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