Find the resultant of the vectors shown in fig by the component method

Explanation

`vecR_(x) =lhati - 5cos 37^(@)hati -6cos 53hati`
`vecR_(x) =1hati - 4hati -3.6hati, therefore vecR_(x), therefore vecR_(x) =-6.6hati`
`vecR_(y) =3hatj + 5sin 37hatj - 6sin 53^(@)hatj`
`vecR_(y) = 3hatj + 3hatj - 4.8 hatj, therefore vecR_(y) = 1.2 hatj`
`R=sqrt(R_(x)^(2) + R_(y)^(2)) =sqrt((-6.6)^(2) +(1.2)^(2)) = 6.7`