Q. 215.0( 1 Vote )

# If a line makes a

Answer :

Given a line makes,

• an angle of 90° with x-axis

• an angle of 60° with y-axis

So, let the angle made by the line with z-axis is θ

__Now, as per the relation between direction cosines of a line, l ^{2} + m^{2}+n^{2} = 1 where l,m,n are the direction cosines of a line from x-axis, y-axis and z-axis respectively.__

From the problem,

l = cos 90° = 0

m = cos 60°

n = cos θ

By using the formula,

l^{2} + m^{2}+n^{2} = 1

As the angle made by the line with positive z-axis, so the cosine angle is positive.

Therefore, cos θ =

Hence θ = 30°.

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