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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
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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ShadowysBest ResponseYou've already chosen the best response.1
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

ShadowysBest ResponseYou've already chosen the best response.1
Do you need further help?
 one year ago

erosheaBest ResponseYou've already chosen the best response.0
wait.. i'm going to analyze it first
 one year ago

erosheaBest ResponseYou've already chosen the best response.0
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

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

erosheaBest ResponseYou've already chosen the best response.0
aaaawwww.. i was wrong.... what i did was the 306090 angles, but it should be 454590.. right?
 one year ago

erosheaBest ResponseYou've already chosen the best response.0
why 2 sqrt 3 ?? i got 2 sqrt 2
 one year ago

ShadowysBest ResponseYou've already chosen the best response.1
4 tan 45 = 4 4 sin 60 = 2 sqrt 3?
 one year ago

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

erosheaBest ResponseYou've already chosen the best response.0
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

ShadowysBest ResponseYou've already chosen the best response.1
It's the first pic. It means that the plane A is at angle of 60 with B
 one year ago

ShadowysBest ResponseYou've already chosen the best response.1
And on the plane A there is a isoscles right angle triangle.
 one year ago

erosheaBest ResponseYou've already chosen the best response.0
dw:1353387385535:dw is it like this?? sorry for the drawing
 one year ago

ShadowysBest ResponseYou've already chosen the best response.1
Nice drawing. dw:1353330325620:dw
 one year ago

erosheaBest ResponseYou've already chosen the best response.0
is that the right position of the isosceles triangle?
 one year ago

ShadowysBest ResponseYou've already chosen the best response.1
Yup. Since the "the hypotenuse of the triangle lies in plane B"
 one year ago

erosheaBest ResponseYou've already chosen the best response.0
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

erosheaBest ResponseYou've already chosen the best response.0
and where is the 60 degree angle?? sorry if i have so many questions
 one year ago

ShadowysBest ResponseYou've already chosen the best response.1
dw:1353330869441:dw lol dun worry about it
 one year ago

ShadowysBest ResponseYou've already chosen the best response.1
dw:1353330892217:dw
 one year ago

erosheaBest ResponseYou've already chosen the best response.0
where does projection of each leg of the triangle refers to??
 one year ago

ShadowysBest ResponseYou've already chosen the best response.1
I was thinking that they refer to the same line actually...because the triangles projection is really that point.
 one year ago

erosheaBest ResponseYou've already chosen the best response.0
atlast i got it.. ahhaa.. thanks for the help!
 one year ago
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