Answer to Question #196650 in Trigonometry for jessica

Question

1. A cart is pushed up a ramp with a force of 250 N. The ramp sits at a 28° angle with the horizontal.

A. Determine the components of the vector representing the force.

B. Describe what would happen if the angle of the ramp was decreased?

Answer 1

A. There are two vector components of the force

1.Horizontal component- Horizontal component is the component that acts along

the x axis or we can say along horizontal direction.

Horizontal component $= F\times Cos 28^0=250 \times Cos 28^0=220.74 N$

2.Vertical component-Vertical component is the component that acts along

the y axis or we can say along vertical direction.

Vertical component$=F\times Sin 28^0=250\times Sin28^0 =117.37N$

B. When the angle of the ramp is decreased then the horizontal vector component of the force is increased as the value of $Cosine$ increases when the angle is decreased.

But the value of vertical component is decreased as the value of $Sine$ decreased when the angle is decreased.