A line makes an angle of 60° with each of x and y axis, the which it makes with z axis is ( in degrees)

Let α be the angle which the line makes with z-axis, thus the direction cosines of the line are cos ⁡60∘,cos ⁡60∘,cos ⁡α⇒ cos2⁡60∘+cos2⁡60∘+cos2⁡α=1⇒ cos2⁡α=1−1/4−1/4=1/2⇒ cos⁡α=±1/2so α=45∘.