A line makes an angle of `60^0` with each of X-axis and Y-axis. Find the acute angle made by the line with Z-axis.

Explanation

`cos ^{2} alpha+cos ^{2} 60^{circ}+cos ^{2} 60^{circ}=1`, where `alpha` is the angle which the straight line makes with `{x}`-axis,


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`therefore cos ^{2} alpha=1-frac{1}{4}-frac{1}{4}=frac{1}{2}`


`Rightarrow cos alpha=frac{1}{sqrt{2}}`


` Rightarrow alpha=45^{circ}`


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