Question

A ABC has a right angle at C, BC = 7.7 centimeters, and m/A = 41°.

What is CA?
Enter your answer rounded to the nearest tenth in the box.
cm

Answer 1

Answer: CA is 8.9

Step-by-step explanation: I took the test

Answer 2

• CA = 8.9

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Since ΔABC is right triangle and C is right angle, the other two angles are complementary:

• m∠A + m∠B = 90°
• 41° + m∠B = 90°
• m∠B = 49°

Use the law of sines to find the missing side:

• sin A / BC = sin B / CA
• sin 41° / 7.7 = sin 49° / CA
• CA = 7.7 * sin 49° / sin 41°
• CA = 8.9 rounded