a1234
  • a1234
Can someone please explain how the answer is 143?
Mathematics
chestercat
  • chestercat
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zzr0ck3r
  • zzr0ck3r
This is very meta.
a1234
  • a1234
1 Attachment
amistre64
  • amistre64
h is 90 degrees, and we can trig the rest

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a1234
  • a1234
How do we trig?
amistre64
  • amistre64
by some thrm, arc(HK) is twice angleG
amistre64
  • amistre64
we have a right triangle, and know leg lengths ....
amistre64
  • amistre64
|dw:1432872894311:dw| trig to find \(\alpha\) and \(\beta \)
amistre64
  • amistre64
what trig function uses just the legs?
a1234
  • a1234
tan
a1234
  • a1234
so tanx = 12/4
amistre64
  • amistre64
then tan it tan(a) = 12/4 inverse for the angle
a1234
  • a1234
Got it! Thanks very much!
amistre64
  • amistre64
yep
amistre64
  • amistre64
the required arc is therefore \(2\alpha\) :)

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