Question

Find the value of x. Round tothe nearest tenth.27°15х11x = [? ]°Law of Sines: sin A:sin B==bsin CСa

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

triangle (diagram)

Step 02:

Law of Sines:

`\frac{\sin\text{ 27}}{11}=\frac{\sin \text{ x}}{15}`

11 * sin x = 15 * sin 27

sin x = (15 * sin 27) / 11

sin x = 0.619

x = arc sin 0.619

x = 38.2

The answer is:

38.2°