Please answer the following question on Related Rates-Angle of Elevation, including the knowns/unknowns, appropriate diagram and concluding statement: Joe starts up a machine and gravel is dumped from a conveyer belt at a rate of 30 ft3/sec. The courseness of the gravel is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile of gravel changing

Q: "At noon, ship A is 40 miles due west of ship B. Ship A is sailing west at 23 mph and ship B is…

A: As given by the question There are given that the value of ship A is 40 miles. Then, In the given…

Q: An equilateral triangle gutter is 27 ft long, 1 ft wide across the top, and 6 ft deep. If rainwater…

A: Let Vt be the volume of the water at time t. Given that dVdt=12 ft3/min Let h be the height of the…

Q: A radar is placed on a post 7 meters above a road. A car approaches the pole. At the moment the…

A: According to diagram representation. Distance between ground and radar=y=7m Distance between car and…

Q: 3. A rectangular box has sides a, b, and c that all change in time. At a certain time to the…

A: In this question we will use basic of application of derivative.  First we will find diameter of box…

Q: "A Kite 65 feet above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle…

A: Given a kite 65 feet above the ground moves horizontally at a speed of 6 ft/s.

Q: An inverted conical tank with a height of 6 feet and a diameter of 4 feet that was filled with water…

A: It is given that, the height and diameter of the conical tank is 6 feet and 4 feet, respectively.Let…

Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A: Consider the provided information, The height of the street light on top of the pole 15 ft and the…

Q: Station A is at 130.6 km to the west of station B. At 11:00 am, a car left station B north at a…

A:

Q: A Ferris wheel was built for an exposition. It held 2100 people, had diameter of 251 ft, and took 25…

A: Diameter = 251 ftTime = 25 minute

Q: A lighthouse is on a small island 4 km from the nearest point P on a straight shoreline. Its beacon…

A: Given: lighthouse is situated on a small island 4 km from point P   number of revolutions= 1…