The length of the side CA is 29.84. Therefore, option C is the correct answer.
We need to calculate the length b to two decimal places.
AB=14, BC=22 and ∠B=110°.
What is the cosine rule to find the length of the side of the triangle?
The cosine rule to find the length of the side of the triangle is a²=b²+c²-2bc cos A.
b²=14²+22²-2×14×22×cos110°
⇒b²=680-616×(-0.342)
⇒b²=680+210.672
⇒b=29.84
The length of the side CA is 29.84. Therefore, option C is the correct answer.
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