145,732 views
15 votes
15 votes
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

User Ameer
by
3.4k points

2 Answers

21 votes
21 votes

Answer: CA is 8.9

Step-by-step explanation: I took the test

User Alexander Lubyagin
by
3.3k points
28 votes
28 votes

Answer:

  • CA = 8.9

===================

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
User Sven Grosen
by
2.6k points
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