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Anyone know this?? it’s finding the sine of a triangle!!

Anyone know this?? it’s finding the sine of a triangle!!-example-1
User Brad Rem
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2 Answers

5 votes

Check the picture below.

Anyone know this?? it’s finding the sine of a triangle!!-example-1
User Josh Marcus
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3.7k points
7 votes

Answer:

I'm not sure what you want me to answer from this, so I solved for every variable:

Angle A: 83°

Side b: 6.29

Side c: 5.8

Explanation:

-----Angle A:

Since the sum of the interior angles of a triangle ALWAYS equal 180°, we can solve for angle A as follows:


A+51+46=180\\A+97=180\\A=83

-----Side b:

Here, we use the sin rule for finding sides, since we know all of the angles as well as one side:


(a)/(sin(A)) =(b)/(sin(B)) \\(8)/(sin(83)) =(b)/(sin(51)) \\8.06=(b)/(0.78) \\6.29=b

-----Side c:


(a)/(sin(A)) =(c)/(sin(C)) \\(8)/(sin(83))=(c)/(sin(46)) \\8.06=(c)/(0.72) \\5.8=c