The figure shows two displacement vectors vec$(A)$ and vec$(B).$ Vector vec$(A)$ points at an angle of $19\mathrm{.}0$ above the xaxis and has an unknown magnitude. Vector vec$(B)$ has an $x$ component $B_x=38\mathrm{.}0m$ and has an unknown $y$ component $By.$ These two vectors are equal. Find $($a$)$ the magnitude of vec$(A)$ and $($b$)$ the value of $B_y.$

$($a$)$ Number

Units

$($b$)$ Number

Units