can you please help me solve #2, #5 and #7

2. Sand falls from a conveyor belt at the rate of 10 m . onto the top of a conical pile. The height of the pile is min always three-eighths of the base diameter. How fast is the height of the pile changing when the pile is 2 m high? Kite 3. Tom flies a kite at a height of 300 ft, and the wind is carrying the kite horizontally away at a rate of 25 fts (so that x is increasing at a rate of 25 ft ft/s). 300 ft (a) How fast is the angle of elevation changing when y = 500 ft? (b) How fast must he let out the string when y = 500 ft? Tom 4. A tank filled with water is in the shape of an inverted cone 20 ft high with a circular base (on top) whose radius is 5 ft. Water is running out of the bottom of the tank at a constant rate of 2 -. How fast is the water level min falling when the water is 8 ft deep? 5. A ladder 13 ft long rests against a vertical wall and is sliding down the wall at the rate of 3 ft/s. (a) How fast is the angle between the ladder and the wall changing when the foot of the 13 ft wall ladder is 5 ft from the base of the wall? (b) How fast is the foot of the ladder moving away from the wall when the foot of the ladder is 5 ft from the base of the wall? 6. A car traveling north at 40 mi/h and a truck traveling east at 30 mi/h leave an intersection at the same time. At what rate will the distance between them be changing 3 hours later? 7. A road perpendicular to a highway leads to a farmhouse located 2 km away. A car Farmhouse travels down the highway at a speed of 80 km/h. How fast is the distance between the car and the farmhouse increasing when the car is 6 km past the intersection of 2 km the highway and the road? Highway Car