1: When you take physics (or future math classes), you will learn a lot about something called "Work." You will learn about it much more deeply in these classes, but in a 2D situation in which we can determine a Force Vector and a Distance Vector, we can determine the Work by finding the dot product of these two vectors. If our force has units "pounds" and the distance has units "feet", the units for work are "foot-pounds" because you're multiplying distance and force. If our force has units "Newtons" and the distance has units "meters", the units for work are "Newton-meters" (or N.m) or "Joules" (1 Joule = N.m) because you're multiplying distance and force. A large boulder needs to be dragged to a new position. We need to pull the boulder using a rope tied to the back of a large truck forming a 36-degree angle from the ground. If the force applied by pulling with the truck is 34 Newtons in the direction of the rope and the work done during this process is 1100.3 Joules, how far did the truck pull the boulder?

2: When you take physics (or future math classes), you will learn a lot about something called "Work." You will learn about it much more deeply in these classes, but in a 2D situation in which we can determine a Force Vector and a Distance Vector, we can determine the Work by finding the dot product of these two vectors. If our force has units "pounds" and the distance has units "feet", the units for work are "foot-pounds" because you're multiplying distance and force. If our force has units "Newtons" and the distance has units "meters", the units for work are "Newton-meters" (or N.m) or "Joules" (1 Joule = 1 N.m) because you're multiplying distance and force. A cart is pulled 50 feet by applying a force of 44 pounds on a rope held at a 46-degree angle. How much work is done?

3: A semi-elliptical window is 42 inches wide and 10 inches tall. Determine the height of the window 18 inches from the center. Height of window = inches Enter your answer correctly to 3 decimal places.