Final answer:
To calculate the force Samuel is exerting to hold the rock in place, use the formula Force = Weight * sin(angle) where the weight of the boulder is given and the angle of the slope is 35°.
Step-by-step explanation:
To calculate the force Samuel is exerting to hold the rock in place, we need to consider the weight of the boulder and the angle of the slope. The force is equal to the component of the weight that acts perpendicular to the slope. Using trigonometry, we can calculate this component:
Force = Weight * sin(angle)
Plugging in the given values, we have:
Force = 322 pounds * sin(35°)
Using a calculator, we find that the force is approximately 183.87 pounds. Therefore, Samuel is exerting a force of approximately 183.87 pounds to hold the rock in place.