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How do I do this? We’re using laws of sine to figure out the answer

How do I do this? We’re using laws of sine to figure out the answer-example-1

2 Answers

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A triangle have 180 degrees, 44°+75° is 119°, if u want the AC degree it’s 180°-119° so the answer is 61
User Dkubb
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4.1k points
9 votes

Answer:

AC = 32.0274615...

Explanation:

First, you have to find ∠C which is simply 180 - 75 - 44. (Since there are 180° in a triangle) That would result in 61°. Then you have to set up the law of sines which is:

sin(∠C)/AB = sin(∠B)/AC

Since we are finding AC, we have to isolate it on one side of the equation:

AC = [sin(∠B) * AB]/sin(∠C)

Then, let's substitute the values for ∠B, ∠C, and AB to get:

AC = [sin(75°) * 29]/sin(61°)

After using a calculator"

AC = 32.0274615...

Hope this helps :)

User Nigel Shaw
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4.2k points