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eroshea Group Title

Plane A which contains an isosceles right triangle forms a dihedral angle of 60 degrees with another plane B. if the hypotenuse of the triangle lies in plane B and measures 8 in., find the distance from the vertex of the right angle to plane B, and the length of the projection of each leg of the triangle on plane B.

  • one year ago
  • one year ago

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  1. Shadowys Group Title
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    So, it's |dw:1353327509163:dw| and |dw:1353327558921:dw| Now, first we'll need to find the length of the hypotenuse and vertex of right angle. That's done by using the tan 45. Now, we'll find the distance from the vertex of the right angle to plane B. Since we have the length, which will be \(4 \tan 45^o\), we'll apply the sine to find that length. It will be |dw:1353327784152:dw| i.e. (4 tan 45)(sin 60)

    • one year ago
  2. Shadowys Group Title
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    Do you need further help?

    • one year ago
  3. eroshea Group Title
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    wait.. i'm going to analyze it first

    • one year ago
  4. eroshea Group Title
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    find the distance from the vertex of the right angle to plane B = 4 square root of 3 length of the projection of each leg of the triangle on plane B = 8 is this correct?? regardless of the unit

    • one year ago
  5. Shadowys Group Title
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    the first might be 2 sqrt 3 the second..hmm can i see your workings?

    • one year ago
  6. eroshea Group Title
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    aaaawwww.. i was wrong.... what i did was the 30-60-90 angles, but it should be 45-45-90.. right?

    • one year ago
  7. Shadowys Group Title
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    yup! :)

    • one year ago
  8. eroshea Group Title
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    why 2 sqrt 3 ?? i got 2 sqrt 2

    • one year ago
  9. Shadowys Group Title
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    4 tan 45 = 4 4 sin 60 = 2 sqrt 3?

    • one year ago
  10. eroshea Group Title
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    i don't get it T.T

    • one year ago
  11. Shadowys Group Title
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    lol for the first I find the length of d |dw:1353329595834:dw| to do this, i need |dw:1353329616295:dw|

    • one year ago
  12. eroshea Group Title
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    please explain me this one "Plane A which contains an isosceles right triangle forms a dihedral angle of 60 degrees with another plane B." it's kinda confusing

    • one year ago
  13. Shadowys Group Title
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    It's the first pic. It means that the plane A is at angle of 60 with B

    • one year ago
  14. Shadowys Group Title
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    And on the plane A there is a isoscles right angle triangle.

    • one year ago
  15. eroshea Group Title
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    |dw:1353387385535:dw| is it like this?? sorry for the drawing

    • one year ago
  16. Shadowys Group Title
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    Nice drawing. |dw:1353330325620:dw|

    • one year ago
  17. eroshea Group Title
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    is that the right position of the isosceles triangle?

    • one year ago
  18. Shadowys Group Title
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    Yup. Since the "the hypotenuse of the triangle lies in plane B"

    • one year ago
  19. eroshea Group Title
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    so where to put the imaginary line for this," from the vertex of the right angle to plane B" and "the length of the projection of each leg of the triangle on plane B."

    • one year ago
  20. eroshea Group Title
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    and where is the 60 degree angle?? sorry if i have so many questions

    • one year ago
  21. Shadowys Group Title
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    |dw:1353330869441:dw| lol dun worry about it

    • one year ago
  22. Shadowys Group Title
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    |dw:1353330892217:dw|

    • one year ago
  23. eroshea Group Title
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    where does projection of each leg of the triangle refers to??

    • one year ago
  24. Shadowys Group Title
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    I was thinking that they refer to the same line actually...because the triangles projection is really that point.

    • one year ago
  25. eroshea Group Title
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    atlast i got it.. ahhaa.. thanks for the help!

    • one year ago
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