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15 votes
15 votes
What is measurement angle B?

What is measurement angle B?-example-1
User Vasyl Zhuryk
by
3.2k points

2 Answers

17 votes
17 votes

Answer: 80 degrees

Explanation:

User Nick Burke
by
3.1k points
16 votes
16 votes

Answer:

B = 54 to the nearest degree.

Explanation:

Remark

This is a sine law question. They can be rather nasty because no answer or 2 answers are possible. This one is well behaved because B, you are told, is acute. The two answer kind needs the supplement of an acute angle.

Sorry this blabs on and shouldn't. You are looking for <B

Formula

Sin(<B)/the side opposite = Sin(<A) / side opposite it

Simplified

Sin(<B) / 9 = Sin(A)/11

Sin(<B) / 9 = Sin(80) / 11 Multiply both sides by 9

9*Sin(B) / 9 = 9 * Sin(80) /11 The 9s Cancel

Now all you need to do is put it in your calculator. Do you need the steps?

Sin(B) = 9*sin(80) / 11

Sin(B) = 9 * 0.9848 /11

Sin(B)= 0.8058

B = Sin-1(0.8058)

B = 53.68

B = 54

User Sinuhepop
by
2.8k points