Question

A cart weighing 200 pounds rests on an incline at an angle of 40°. What is the required force to keep the cart at rest? Round to the thousandths place.

Answer 1

128.558

Step-by-step explanation:

Answer 2

Given:

There are given that the car weighed 200 pounds on an incline at an angle of 40 degrees.

Step-by-step explanation:

To find the required force, first we need to draw the triangle.

So,

Now,

We need to find the value for x:

So,

To find the value for x, we need to use the sine function.

Then,

`sin40=(x)/(200)`

Then,

`\begin{gathered} s\imaginaryI n40=(x)/(200) \\ x=sin40^(\circ)*200 \\ x=128.5575 \\ x=128.558 \\ \end{gathered}`

Final answer:

Henc