Question:
A line making angles 45° and 60° with the positive directions of the axes of \( x \) and \( y \) makes with the positive direction of \( z \)-axis, an angle of:
A line making angles 45° and 60° with the positive directions of the axes of \( x \) and \( y \) makes with the positive direction of \( z \)-axis, an angle of:
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Direction cosines are used to find the angle of a line with respect to the coordinate axes.
Updated On: Jan 6, 2026
- 60°
- 120°
- 60° or 120°
- None of these
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The Correct Option is A
Solution and Explanation
Step 1: Use the direction cosines.
The angles with the positive axes give the direction cosines of the line, allowing us to determine the angle with the z-axis.
Step 2: Conclusion.
Thus, the angle with the z-axis is 60°.
Final Answer: \[ \boxed{60^\circ} \]
The angles with the positive axes give the direction cosines of the line, allowing us to determine the angle with the z-axis.
Step 2: Conclusion.
Thus, the angle with the z-axis is 60°.
Final Answer: \[ \boxed{60^\circ} \]
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