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 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.
 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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Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1So, 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)

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1Do you need further help?

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0wait.. i'm going to analyze it first

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0find 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

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1the first might be 2 sqrt 3 the second..hmm can i see your workings?

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0aaaawwww.. i was wrong.... what i did was the 306090 angles, but it should be 454590.. right?

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0why 2 sqrt 3 ?? i got 2 sqrt 2

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.14 tan 45 = 4 4 sin 60 = 2 sqrt 3?

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1lol for the first I find the length of d dw:1353329595834:dw to do this, i need dw:1353329616295:dw

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0please 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

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1It's the first pic. It means that the plane A is at angle of 60 with B

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1And on the plane A there is a isoscles right angle triangle.

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1353387385535:dw is it like this?? sorry for the drawing

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1Nice drawing. dw:1353330325620:dw

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0is that the right position of the isosceles triangle?

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1Yup. Since the "the hypotenuse of the triangle lies in plane B"

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0so 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."

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0and where is the 60 degree angle?? sorry if i have so many questions

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1353330869441:dw lol dun worry about it

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0where does projection of each leg of the triangle refers to??

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.1I was thinking that they refer to the same line actually...because the triangles projection is really that point.

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0atlast i got it.. ahhaa.. thanks for the help!
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