Answer:
(-1.22,- 6.89)
Explanation:
The vector F lies in the IVth quadrant so the values of x and y components will be negative .
Considering the origin O and F making an angle ∅ of 10° with the x- axis at X . Δ XOF is a right angled triangle with right angle at XF. Let XF be the perpendicular OX base and OF hypotenuse c= 17.
So the rectangular components Fx and Fy can be found by the following formula
Sin∅ = Perpendicular/ Hypotenuse
Perpendicular = sin∅ * hypotenuse
Fy= sin - 10° *7
Fy =- 0.17364*7= -1.21554 ≅ -1.2155 ≅ -1.22
Base/ Hyptenuse= Cos∅
Base= Cos ∅ *Hypotenuse
Fx= Cos -10 ° *7= -0.98480 *7= - 6.8936 ≅ -6.894 ≅ -6.89
The rectangular components of F are Fx along x- axis and Fy along y- axis having values equal to 1.22 and 6.89 and since they are in the fourth quadrant their values are negative