Question

Been stuck on this for hours, it's the Law of Sines. 25 POINTS!!

Answer 1

Explanation:

(Sin27) / 11 = (sin x) / 15

cross multiply

15 sin27 = 11 sin x

keep in calculator as you divide 15sin27 by 11.

sin x = .6190779542

do sin ^ -1 (.6190779542) (It’s a key on the calculator.)

x = 38.25*

Answer 2

9514 1404 393

Answer:

38.2°

Explanation:

According to the equation you are give, ...

sin(x)/15 = sin(27°)/11

Multiplying by 15 gives you ...

sin(x) = 15·sin(27°)/11 ≈ 0.619078

The inverse sine function is used to find the angle x. It may show as sin⁻¹ on your calculator.

x = arcsin(0.619078)

x ≈ 38.2°

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Additional comment

x is shown in the figure as an acute angle, so that is the value we have chosen. The other angle that has sin(x) = 0.619078 is the supplement of this, or 141.8°. The two solutions are shown in the 2nd and 3rd attachments.