The measure of angle ∠A and angle ∠C will be 65.37° and 17.63°. And the measure of the length of CA will be 29.48 inches.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
In triangle ABC, the side AB is 9 in, the side BC is 27 in, and the angle B is 97 degrees.
Then the other two angles and the side CA will be
The side CA is given by the cosine rule. Then we have
Then angle A will be given by the sine rule. Then we have
Then the angle C will be
∠A + ∠B + ∠C = 180°
65.37° + 97° + ∠C = 180°
∠C = 17.63°
More about the trigonometry link is given below.
brainly.com/question/22698523
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