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
