Answer:
18.6
Step-by-step explanation:
We know a side and a angle opposite of that side
(AC and Angle B respectively).
We know another side(AB). and are trying to find a angle opposite of it.
Let use Law of Sines rules.
[tex] \frac{ac}{ \sin(angle \: b)} = \frac{ab}{ \sin(angle \: c)} [/tex]
Substitute the values in.
[tex] \frac{22}{ \sin(90) } = \frac{7}{ \sin(x) } [/tex]
Solve for sin x by taking the reciprocal of both sides.
[tex] \frac{ \sin(90) }{22} = \frac{ \sin(x) }{7} [/tex]
Remeber sin 90 =1 and multiply 7 by both sides.
[tex] \frac{1}{22} \times 7 = \sin(x) [/tex]
Take the inverse of sin to find the angle measure.
[tex] \sin {}^{ - 1} (x) = \frac{7}{22} [/tex]
The answer is
18.6
