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eroshea

  • 2 years ago

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.

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  1. Shadowys
    • 2 years ago
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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)

  2. Shadowys
    • 2 years ago
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    Do you need further help?

  3. eroshea
    • 2 years ago
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    wait.. i'm going to analyze it first

  4. eroshea
    • 2 years ago
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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

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

  6. eroshea
    • 2 years ago
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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?

  7. Shadowys
    • 2 years ago
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    yup! :)

  8. eroshea
    • 2 years ago
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    why 2 sqrt 3 ?? i got 2 sqrt 2

  9. Shadowys
    • 2 years ago
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    4 tan 45 = 4 4 sin 60 = 2 sqrt 3?

  10. eroshea
    • 2 years ago
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    i don't get it T.T

  11. Shadowys
    • 2 years ago
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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|

  12. eroshea
    • 2 years ago
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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

  13. Shadowys
    • 2 years ago
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    It's the first pic. It means that the plane A is at angle of 60 with B

  14. Shadowys
    • 2 years ago
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    And on the plane A there is a isoscles right angle triangle.

  15. eroshea
    • 2 years ago
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    |dw:1353387385535:dw| is it like this?? sorry for the drawing

  16. Shadowys
    • 2 years ago
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    Nice drawing. |dw:1353330325620:dw|

  17. eroshea
    • 2 years ago
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    is that the right position of the isosceles triangle?

  18. Shadowys
    • 2 years ago
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    Yup. Since the "the hypotenuse of the triangle lies in plane B"

  19. eroshea
    • 2 years ago
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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."

  20. eroshea
    • 2 years ago
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    and where is the 60 degree angle?? sorry if i have so many questions

  21. Shadowys
    • 2 years ago
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    |dw:1353330869441:dw| lol dun worry about it

  22. Shadowys
    • 2 years ago
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    |dw:1353330892217:dw|

  23. eroshea
    • 2 years ago
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    where does projection of each leg of the triangle refers to??

  24. Shadowys
    • 2 years ago
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    I was thinking that they refer to the same line actually...because the triangles projection is really that point.

  25. eroshea
    • 2 years ago
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    atlast i got it.. ahhaa.. thanks for the help!

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