Question

70 points!!!! Find the horizontal and the vertical components of f.

Answer 1

Answer:

(-1.22,- 6.89)

Step-by-step 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

Answer 2

Answer is -1.22&-6.89

Use pythagoras theorm.