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Question of the week #4!!!

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oLahav
  • Authority 711
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oLahav said:

Hello everyone.

Like every week, we’ve got a question for you. This is a complicated math question combining lots of smaller questions into one, with no answer choices or anything- a real challenge!

The question is:

The side S of this cube is given by the formula (1/(S/4)) + (3/2) = 2 + (1/2).

If B, C and E are all midpoints of their respective edges of the cube, find the size of the largest of these angles:
XAY
XBY
XCY
XDY
XEY

Good luck! For questions, concerns, and of course- answer attempts, post below!

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  • Posted 5 months ago.
manas biswas
  • Authority 7
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manas biswas said:

The angle XBY is maximum. Its value is tan inverse(2).

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  • Posted 5 months ago.
manas biswas
  • Authority 7
Post Body
manas biswas said:

The angle XBY is maximum. Its value is tan inverse(2).

  • Quote
  • Posted 5 months ago.
oLahav
  • Authority 711
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oLahav said in response to:
manas biswas
manas biswas’ post:
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The angle XBY is maximum. Its value is tan inverse(2).

You’re absolutely right, XBY is the largest angle, which measures approximately 64 degrees, the inverse tan of 2. Great job!

If anybody is looking for a detailed solution, here it is.

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  • Posted 5 months ago.
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