Resultant of two forces `vecF_(1)` and `vecF_(2)` has magnitude 50 N. The resultant is inclined to `vecF_(1)` at `60^(@)` and to `vecF_(1)` at `30^(@)` . Magnitudes of `vecF_(1)` and `vecF_(2)`, respectively, are:

Options

A. `25N,25sqrt(3) N`
B. `20 N, 20sqrt(3)N`
C. `20 N, 30 N`
D. `30 N, 40 N`

Answer

A

Explanation

`vecF_(1) and vecF_(2)` are `bot^(ar)" ".......(i)`
`tan 30^(@) = (F_(2))/(F_(1))= (1)/(sqrt(3))" " .....(ii)`