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yawa3891 [41]
3 years ago
9

With method please

Mathematics
1 answer:
IRINA_888 [86]3 years ago
6 0

Answer:

57.8º

Step-by-step explanation:

According to the law of sines \frac{sinA}{a} = \frac{sinb}{b} = \frac{sinc}{c}.

In this triangle we have two sides with two of their angles.

Let's make 8 cm side a with 38º as its angle, and 11 cm side b with x as its angle.

\frac{sinx}{11} = \frac{sin38}{8}

Now we multiply both sides by 11 to get rid of the denominator on the left.

sinx = \frac{11sin38}{8}

To find x, we use inverse sine.

x = sin⁻¹ (11sin38/8)

Plug this into a calculator, and you will get 57.837.

Round this to 57.8º

Hope this helps!

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