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Home › TS EAMCET › Mathematics › Coordinate Geometry: Direction Cosines and Direction Ratios › A line makes acute angles of 60 degrees with the…

A line makes acute angles of 60 degrees with the x and y axes. Its angle with the z-axis is:

A30 degrees
B90 degrees
C60 degrees
D45 degrees
Answer & Solution
Correct answer: D. 45 degrees
cos^2 g = 1 - 1/4 - 1/4 = 1/2, so g = 45 degrees for the acute case.
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