Question

Find X. Round to the nearest tenth.

Answer 1

Answer:

21.4 degrees =x

Step-by-step explanation:

We can use the law of sines to solve this problem

sin A            Sin B

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

a                  b

where A is the angle and a is the opposite side

sin 42           Sin x

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

22                  12

Using cross products

12 sin 42 = 22 sin x

Divide by 22

12/22 sin 42 = 22/22 sin x

12/22 sin 42 =  sin x

Take the arcsin of each side

arcsin (12/22 sin 42) = arcsin( sin x)

arcsin (12/22 sin 42) =  x

21.40637223=x

Rounding to the nearest tenth

21.4 degrees =x