Question

.The horizontal component of vector ă is equal
to the vertical component of vector b. If 30° is
the angle made by a with its vertical axis and
that made by b with its horizontal axis, then cal-
culate the value of b in terms of a.

Answer 1

Answer:

b=a√3

• horizontal component of a=a cosx
• vertical component of b=b sinx

(where x is the angle made by the vector with horizontal axis)

• given,a makes 30° with the vertical, therefore,with horizontal it makes an angle 60° {90-30}
• b makes an angle 30° with horizontal
• now, by equating the equal components,we will get the answer

please refer to the attached picture

hope it helps