Answer :

Given a line makes,


• an angle of 90° with x-axis


• an angle of 60° with y-axis


So, let the angle made by the line with z-axis is θ


Now, as per the relation between direction cosines of a line, l2 + m2+n2 = 1 where l,m,n are the direction cosines of a line from x-axis, y-axis and z-axis respectively.


From the problem,


l = cos 90° = 0


m = cos 60°


n = cos θ


By using the formula,


l2 + m2+n2 = 1







As the angle made by the line with positive z-axis, so the cosine angle is positive.


Therefore, cos θ =


Hence θ = 30°.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find the equationMathematics - Board Papers

Find the equationMathematics - Board Papers

Find the length oMathematics - Board Papers

Find the coordinaMathematics - Board Papers

Find the equationMathematics - Board Papers

Show that the linMathematics - Board Papers