A 22-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement direct away from the building at 2 feet/second, how fast is the top of the ladder moving down when the foot of the ladder is 15 feet from the wall?

Q: A tall pipe is 30 feet tall. A person with a height of 6 feet walks away from the pipe along a…

A: The objective of this question is to find the rate at which the person is moving away from the pipe.…

Q: A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the ground.…

A:

Q: A 4-foot child is walking away from a streetlight 16 feet high at a rate of 2 feet per second. At…

A:

Q: At noon, ship A is 140 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing…

A:

Q: A lady 1.65 meters tall walks towards a lamp post 2.65 meters high at a speed of 1.5 m/s. How fast…

A: Given: Height of lady=1.65 m Height of lamp post=2.65 m Speed of lady=1.5 m/s To find: Shadow of…

Q: A street light is at the top of a 18 foot tall pole. A 6 foot tall woman walks away from the pole…

A: Let AB be the pole=18ft CD be height of woman=6 ft let AD=x and DE=y dxdt=4 ft/sec (given)

Q: Runners start at first and second base, which are 90 feet apart. When the ball is hit, the runner at…

A:

Q: scientist watches a rocket rising vertically off the ground from a point that is 150 meters away on…

A: Rate of change

Q: A man, running 3 meters per second in an open field, runs east for 30 seconds, then turns north.  If…

A: Since the man ran 3m/s east for 90 sec so he is 90 m from the searchlight. Consider the diagram…

Q: If you walk at 1 km/h down the aisle toward the front of a train that is moving at 60 km/h, what is…

A: We have,  you are moving at 1 km/h down the aisle toward the front of a train. and train is moving…

Exponential Growth Model

The relation that represents an exponential function is: