The Weight of a Crate Is 200 Newtons $A , B , C$

Multiple Choice

The weight of a crate is 200 newtons. Find the tension in each of the supporting cables shown in the figure. The coordinates of the points $A , B , C$ , and $D$ are given below the figure. Round to the nearest newton.

[Figure not necessarily to scale.]

point $A = ( 0,0 , - 180 )$ , point $B = ( 110,0,0 )$ , point $C = ( - 40,50,0 )$ , point $D = ( 0 , - 130,0 )$

A) cable $A B = 121$ ; cable $A C = 49$ ; cable $A D = 54$
B) cable $A B = 49$ ; cable $A C = 54$ ; cable $A D = 121$
C) cable $A B = 49$ ; cable $A C = 121$ ; cable $A D = 54$
D) cable $A B = 54$ ; cable $A C = 121$ ; cable $A D = 49$
E) cable $A B = 121$ ; cable $A C = 54$ ; cable $A D = 49$