anonymous
  • anonymous
PLEASE HELP WILL MEDAL AND FAN!!!! https://prwi7873-stonewall-ccl.gradpoint.com/Resource/5711966,90A,0,0,0,0,0/Assets/testitemimages/geometry_b/circles/mc040-1.jpg What is the value of x to the nearest tenth?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
You need to use SOHCAHTOA. Do you know how to do that?
anonymous
  • anonymous
No
anonymous
  • anonymous
Do you know what sin, cosine, and tangent are?

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anonymous
  • anonymous
Yea I do, I just was never taught how to find the diameter of that only the missing leg
anonymous
  • anonymous
can you please just either give me the euqation to answer that or the answer
anonymous
  • anonymous
Okay, so if you know what sine, cosine, and tangent are, then you know what SOHCAHTOA is. It's just an abbreviated form of how to use those equations. I'll look at the question and give you the equation in a moment.
anonymous
  • anonymous
SOHCAHTOA abbreviates the equations: SinA=Opposite/Hypotenuse CosA=Adjacent/Hypotenuse TanA=Opposite/Adjacent So looking at this, you can see that the angle is 90 degrees. So if it's 90 degrees on one side, and above it is a straight line, it will be the same for the other side. So let's call this triangle ABC. ABC has a hypotenuse of 24.6 and a leg of 16.2. To find length x, we need to find the final leg of the triangle. To do that, we can use either sin or cos. Let's use sin. SinA=opposite over hypotenuse, so if we use sin, we will find the angle in the top left corner. The equation is sin=16.2/24.6, which is 0.66 Then to find the angle, we can use sin^-1(0.66). Now we know the angle is 41.2 degrees. Now since this is a right triangle, we know that one angle is 90 degrees, and since the other is 41.2 degrees, we can do 180 degrees (the total degrees of a triangle) - (41.2+90), making the last angle 48.81 degrees. So now we know ABC has the angles 41.2, 90, and 48.8, going clockwise starting from the top left. Now, we can use any one of the equations to find the last leg, or we can use sine law. We'll use an equation to make it simpler. If cosA=adjacent/hypotenuse, then adjacent=cosA*hypotenuse. Using that formula, we can do cos(41.2)*24.6=18.5. If the top leg of the triangle is 18.5 units, and we can see that the triangle is a right triangle, meaning the same triangle is on the other side, then the answer is 18.5*2. x=37 units.

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