Question

Find X round to the nearest tenth.

Answer 1

38.2 degrees

Explanation:

Use the law of sines

(sin 27)/11=(sinx)15

15sin(27)=11sin(x)

[15sin(27)]/11=sin(x)

x=arcsin[15sin(27)]/11

rounded to nearest tenth, x=38.2

Answer 2

38.3 =x or x=141.8

Explanation:

Using the law of sines

sin 27 sin x

----------- = ------------

11 15

Using cross products

15 sin 27 = 11 sin x

15/11 sin 27 = sin x

Taking the inverse sin of each side

sin^-1 (15/11 sin 27 )= sin ^-1(sin x)

38.24883302 = x

To the nearest tenth

38.2 =x

or

x=141.8