anonymous
  • anonymous
Can someone help me find the value of b? Geometry help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
What is the value of b? you may assume that the ray is tangent to the circle
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mortonsalt
  • mortonsalt
When the tangent line meets the circle at that point, what angle does it make with the diameter?
anonymous
  • anonymous
what do you mean?

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mortonsalt
  • mortonsalt
|dw:1446942589249:dw|
anonymous
  • anonymous
Well.. uhm a semicircle is 180 so uhmm ... ya. Would that angle be 90?...
mortonsalt
  • mortonsalt
A better way to think about is you know that the tangent line would be perpendicular to the diameter. But yes, it is 90-degrees.
mortonsalt
  • mortonsalt
You can get a using the theorem I taught you earlier.
mortonsalt
  • mortonsalt
WIth that, you can get b.
mortonsalt
  • mortonsalt
|dw:1446942772572:dw|
anonymous
  • anonymous
Could you remind again what that theorem was? Would I subract 54 from 90? Sorry usually im not this blonde about these kinds of things lol
mortonsalt
  • mortonsalt
a would be equal half of the 54-degree.
mortonsalt
  • mortonsalt
Remember? Half of the angle outside, for as long as the conditions are like the ones above.
anonymous
  • anonymous
so 27?
mortonsalt
  • mortonsalt
Yes.
mortonsalt
  • mortonsalt
a=27. What do you know about a+b?
anonymous
  • anonymous
Thank you so much dude, you're a lifesaver. I may or may not need help with a couple other questions. Wouldnt a + b = 90 in this particular question?
mortonsalt
  • mortonsalt
Yep!
anonymous
  • anonymous
so 90 - 27 = the length of b which would be 63?
mortonsalt
  • mortonsalt
I'd advise you the revise your circle theorems. :) If you have a good grasp of them, these problems would be easy.
mortonsalt
  • mortonsalt
And yes.
anonymous
  • anonymous
Awesome! thank you!
anonymous
  • anonymous
Hey so will you check my answer for this next one? I got 68 @mortonsalt
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anonymous
  • anonymous
or would it be 54?

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