If I have right angle triangle with a hypotenuse of 12meters and an angle of 60degrees what is the length
1 answer:
There are 2 basic trangles used in SAT,
45-45-90
30-60-90
if you look in the attachment you will know the relationship between each so
with a 30-60-90 triangle which you have
hypotonuse=2x
hypotonuse=12
2x=12
divide by 2
x=6
I'm not sure about the length, but I'm assuming you mean the longer side
the measure of each leg is 6 and 6 times√3
the lonnger one is 6√3
the answer is 6√3 meters
45-45-90
30-60-90
if you look in the attachment you will know the relationship between each so
with a 30-60-90 triangle which you have
hypotonuse=2x
hypotonuse=12
2x=12
divide by 2
x=6
I'm not sure about the length, but I'm assuming you mean the longer side
the measure of each leg is 6 and 6 times√3
the lonnger one is 6√3
the answer is 6√3 meters
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Answer:
a) (8,8,-6)
b) 4x+4y+3z = -3
Step-by-step explanation:
a)
The surface is given by the equation
f(x,y,z) = 0 where
The gradient of this function is the vector
If we evaluate it in the point P = (-2,2,1) we obtain the point
(8,8,-6)
b)
The vectors with their tails at P are of the form
(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)
as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0
and the equation of the desired plane is
4x+4y+3z = -3