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

Mathematics

2 answers:

Tanya [424]3 years ago

8 0

A triangle have 180 degrees, 44°+75° is 119°, if u want the AC degree it’s 180°-119° so the answer is 61

GREYUIT [131]3 years ago

6 0

Answer:

AC = 32.0274615...

Step-by-step 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 :)

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