Couple moment problems - Calculate the distance?

[nchin]

Couple moment problems -- Calculate the distance?

Homework Statement

http://imageshack.com/a/img691/1734/804i.jpg

Homework Equations

M = F x d

The Attempt at a Solution

M = Fxd
20Nm = 35N*x
x = 0.57m

cos 30 deg = x/d
d = x/cos 30 deg = 0.57m/cos 30 deg = 0.66m

is this correct?

 

[collinsmark]

Homework Statement

http://imageshack.com/a/img691/1734/804i.jpg

Homework Equations

M = F x d

The Attempt at a Solution

M = Fxd
20Nm = 35N*x
x = 0.57m

cos 30 deg = x/d
d = x/cos 30 deg = 0.57m/cos 30 deg = 0.66m

is this correct?

Yes, I think that is correct. (I might have used a different variable besides 'x', so as not to confuse it with the x-axis direction specified in the diagram, but the final answer works out the same).