A line which makes angle 60^o with y - axis and z - axis, then th… - Vidyadip

MCQ

A line which makes angle ${60^o}$ with $y$ - axis and $z$ - axis, then the angle which it makes with $x$ -axis is ......... $^o$

✓
$45$
B
$60$
C
$75$
D
$30$

✓

Answer

Correct option: A.

$45$

a
(a) ${\cos ^2}\alpha = 1 - {\cos ^2}{60^o} - {\cos ^2}{60^o}$

$ = 1 - \frac{1}{4} - \frac{1}{4} = \frac{1}{2}$

==> $\alpha = {45^o}.$

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