A line making angles 45^ and 60^ with the positive directions of the axis of X and Y , makes with the positive direction of Z -axis, an angle of

Step-by-step solution

Let the line makes an angle x with positive direction of -axis. Then, we have array ll & ² 45^ + ² 60^ + ² x=1 & ( 1 2 )²+ ( 1 2 )²+ ² x=1 & ² x=1- 1 2 - 1 4 & ² x= 1 4 x= 1 2 & Neglecting x= -1 2 , because line is in I-octant) & x=60^ array