Question

If a line makes 90 and 60 angle with positive x and y axis find the angle which it makes with z axis

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Hey !!

Let the angle made by line with positive direction of z-axis be θ then,

 we know that,

          cos²90 + cos²60 + cos²θ = 1

=> 0 + ($\frac{1}{2}$)² + cos²θ = 1

=> $\frac{1}{4}$ + cos²θ = 1

=> cos²θ = 1 - $\frac{1}{4}$

=> cos²θ = $\frac{3}{4}$

=> cos θ = ±√3/2

=> θ = 60° (or) π/3

if cos θ = √3/2 and θ = 150° (or) 5π/6

if cosθ = -√3/2

GOOD LUCK !!