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A straight line which makes an angle of ...

A straight line which makes an angle of `60^@` with each of Y and Z-axis, the angle this lines makes with X-axis is

A

`30^@`

B

`60^@`

C

`75^@`

D

`45^@`

Text Solution

Verified by Experts

The correct Answer is:
D
Clearly `cos^2alpha+cos^2""60^@+cos^2""60^@=1` where `alpha` is angle which the straight line makes with X-axis
`therefore" "cos^2alpha=1-1/4-1/4=1/2`
`rArr" "cosalpha=1/sqrt2`
`rArr" "alpha=45^@`
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