Estimate the indicated component or components of the vector

Estimate the indicated component or components of the vector. Round to an approximate number of sifnificant digits

[ V] = 22.2 , = 104 degrees

find the horizontal and vertical components of v

Answer is horizontal = -5.4, vertical 21.5

please show all steps and work clearly

Solution

always the horizontal component will be Vcos

and the vertial component will be Vsin

given the magnitude of V =|V| = 22.2 and =104 degree

so horizontal component = |V| cos

=22.2 cos(104)

=22.2 *-0.242

=-5.37

=-5.4 (approximating)

vertical component = |V| sin

= 22.2 sin104

=22.2*0.97

=21.54

=21.5 (approximating)