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in Mathematics by (40.5k points)

A one AB in three-dimensional space makes angles 45° and 120° with the positive X-axis and the positive Y-axis, respectively. If AB makes an acute angle with the positive Z-axis, then θ is equal to

(a) 30°

(b) 45°

(c) 60°

(d) 75°

1 Answer

+1 vote
by (44.9k points)
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Best answer

Correct option (c) 60°

Explanation:

We know that,

cos 45° + cos120° + cos2 θ = 1

1/2 + 1/4 + cos2 θ = 1

cos2 θ = 1/4

cos θ = ±1/2

θ = 60° or 120°

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