Amountaintop is a height y above the level ground. a woman measures the angle of elevation of the mountaintop to be θ when she is a horizontal distance x from the mountaintop. after walking a distance d closer to the mountain, she measures the angle of elevation of the mountaintop to be φ. neglecting the height of the woman’s eyes above the ground, draw a well-labelled diagram representing this situation and find an expression for the height of the mountain, y, in terms of d, φ, and θ. note that your expression cannot contain x.

According to social exchange theory, altruistic behaviors benefit the individual who performs them. t/f

1point) a skydiver weighing 130 lb (including equipment) falls vertically downward from an altitude of 14,000 ft and opens the parachute after 20 s of free fall. assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.85|v|0.85|v| when the parachute is closed and is of magnitude 17|v|17|v| when the parachute is open, where the velocity vv is measured in ft/s. assume that acceleration due to gravity has magnitude 32 ft/s/s; remember that weight is the product of mass and gravitational acceleration. find the speed of the skydiver when the parachute opens. speed is 150.6121788 ft/s find the skydiver's height when the parachute opens. height is 2338.98591 ft find the limiting velocity vlvl after the parachute opens. (think about whether this should be positive or negative.) vl=vl= 7.647 ft/s

Agas contained within a piston-cylinder assembly undergoes three processes in series: process 12: compression with pv= constant from 1 bar and 1 liter to 4 bar. process 23: constant pressure expansion to 1 liter. process 31: constant volume calculate the pressure and volume at each state, and sketch the processes on a p-vdiagram labeled with pressure and volume values at each numbered stat