Question

58. The horizontal component of vector ā is equal to
the vertical component of vector 6. If 30° is the
angle made by ä with its vertical axis and that made
by b with its horizontal axis, then calculate the value
of b in terms of a​

Answer 1

Let Vector is R,

∴ Vertical Component  V=Rsin(θ)   .......1

Horizontal Component H=Rcos(θ)  .......2

Given that V=H,  

Divide the equations 1 by 2,  

⇒  

cos(θ)

sinθ)

​  

=  

H

V

​  

    ⇒tan(θ)=1,

∴θ=45