A line makes angles of 45∘ and 60∘ with the positive axes of X and Y respectively. The angle made by the same line with the positive axis of Z, is

Question

A line makes angles of 45∘ and 60∘ with the positive axes of X and Y respectively. The angle made by the same line with the positive axis of Z, is
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Solution 1

The direction cosines of a line are given by the cosines of the angles made by the line with the positive directions of the x, y, and z axes.

Given that the line makes angles of 45° and 60° with the positive x and y axes respectively, we can find the direction cosines of the line as follows:

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