An 8- meter ladder is leaning against a vertical wall. If a the ladder away from the person pulls the base or wall at the rate 0.7m/s, what is the rate from distance between the top of the ladder and the ground de creasing when the buse of the ladder is the A. 2 meters from the wall?

Q: The legs of an isosceles right triangle increase in length at a rate of 2 m/s. a. At what rate is…

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Q: A 13ft ladder rests against a vertical wall. If the bottom of the ladder is sliding away from the…

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Q: Assuming your car can slow at a constant rate of 15 ft/sec2, how much distance will your car cover…

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Q: A 5 ft long ladder rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Let's understand what's going on:

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Let y be height of wall upto ladder and x be distance between bottom of wall and bottom of ladder…

Q: A 13-foot ladder leans against a wall. The foot of the ladder begins to slide away from the wall at…

A:

Q: A vertical cylinder is leaking water at a rate of 3 m/sec. If the cylinder has a height of 10 m and…

A: The volume of the cylinder is given by V=πr2h, where V=volume of the cylinder r=radius of the…

Q: A softball diamond has the shape of a square wide sides 60 ft long. If a player is running from…

A: A softball diamond has the shape of a square with sides 60 ft long. A player is running from second…

Q: The legs of an isosceles right triangle increase in length at a rate of 6 m/s a. At what rate is the…

A: Let, l be the length of a legth of a leg of an isosceles right triangle, h be the length of the…

Q: A 40-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 7…

A: Find the rate of the top of ladder sliding down.

Q: . A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking…

A: We make diagram of the situation .

Q: A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away…

A: To find the rate of change of area of the triangle formed .

Q: Consider a pool shaped like the bottom half of a sphere, that is being filled. The radius of the…

A: The volume of hemisphere filled with liquid to height h = πrh2-π3h3

Q: A car is slowing down at the rate 0.8 ft/sec². How far will the car move before it stops if its…

A:

Q: A kite 100 ft above the ground moves horizontally at aspeed of 8 ft/s. At what rate is the angle…

A:

Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 inches tall person is walking away from the…

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Q: A 10 ft ladder leans against a wall. If the top of the ladder slides down the wall at a rate of 2…

A:

Q: The legs of an isosceles right triangle increase in length at a rate of 5 m/s. a. At what rate is…

A:

Q: A softball diamond is a square whose sides are 60 ft long. Suppose that a player running from first…

A: Suppose , y is the distance from the home and x is the distance from first base. Given that ,…

Q: A light is hung 15ft above a straight horizontal path. If a man 2 ft tall is walking away from the…

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Q: A boat is pulled toward a dock by means of a rope wound on a drum that is located 3 ft above the bow…

A: a rough sketch of the problem will be as follows:

Q: A ladder 3.9 m long is placed in a vertical plane which is at right angle to the vertical wall, the…

A: Given :                     The height of the ladder = 3.9m                     Let x…

Q: The top of a ladder slides down a vertical wall at a rate of 0.125 m/s. At the moment when the…

A: To find: -

Q: 2) A 5-ft ladder, leaning against a wall, slips so that its base moves away from the wall at a rate…

A:

Q: A 12-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

A: A 12-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

Q: The legs of an isosceles right triangle increase in length at a rate of 6 m divided by s.a. At what…

A: Let x  be the length of leg and h be the length of hypotenuse of an isosceles right triangle. Then…

Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

A: This question can be solved using the concept of rate of change of physical quantities.

Q: The hour hand of a clock is 4 inches long and the minute hand is 6 inches long. At the moment the…

A: The hour hand of clock is 4 inches long and the minute hand is 6 inches long. At that time angle…

Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 in tall person is waking away from the pole…

A: Given that:Height of the poll is 12 ft and height of the person is 5 ft 6 in or 5.5 ft.Let x and y…

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: We sketch the situation roughly  Let us assume x=the distance of the boat from the dock y=the…

Q: A kite is flying at a fixed height of 30 ft. If 50 feet of stringis out alreadyfrom the spool, what…

A: Given: A kite is flying at a fixed height of 30 ft. If 50 feet of string is out already from the…

Q: A 50 ft ladder is placed against a wall, as shown below. The base of the ladder is slipping away…

A: Let the horizontal distance of the ladder is = x ft Vertical distance = y ft So, Given that:…

Q: A 50 feet ladder is leaning against a wall of a building. Suppose the base of the ladder slides away…

A:

Q: A kite, at a height of 60 ft. is moving horizontally at a rate of 5ft/sec. away from the boy who…

A: From the given information, draw a picture.

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A:

Q: The top of a ladder that is 5 m long slides down a vertical wall at a rate of 2 m/s. At what rate…

A: Given :Length of ledder=5m

Q: The top of a ladder slides down a vertical wall at a rate of 0.25 m/s. At the moment when the bottom…

A: Given:

Q: A 35-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 8…

A: Let BC = x = distance from the base of wall to bottom of the ladderAB = y = distance from the base…

Q: The top of a ladder slides down a vertical wall at a rate of 0.15m/s. At the moment when the bottom…

A: We have given; the rate of change when ladder slides down i.e 0.15m/s The rate of change when it…

Q: A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At which rate is the angle…

A: Given,  Consider the height of the lite from the ground is 100 ft. The speed is dxdt=8 ft/s. To find…

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how…

A: Firstly we will draw the diagram for given information and then find the required as shown below

Q: A 10 ft long ladder rests against a vertical wall. If the top of the ladder slides down from the…

A:

Q: A ladder 5 m long rests against a vertical wall. If the top of the ladder slides down the wall at a…

A:

Q: A 15-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 3…

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Q: Suppose that the hot-air balloon was descending at a rate of 12 ft/sec instead of ascending.…

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Q: A 20-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 6…

A: Let x= horizontal distance y=vertical distance Given that dx/dt=6 ft/sec and x=16 ft At x=16 we find…

Q: The base x of the right triangle in the figure increases at a rate of 6 cm/s, while the height remai

A: In this question we will use basic of calculus i.e application of differentiation. We will first…

Q: The legs of an isosceles right triangle increase in length at a rate of 4 m/s. a. At what rate is…

A:

Q: A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Assume length of ladder be l height be h base be b Given l=13 ft b=5ft dbdt=2ft/sec

Q: An arrow is shot vertically up word from a platform 20 feet high at a rate of 179 ft./s, when will…

A: We will use the quadratic equation approach to solve the problem given: Height , h = 2ft speed = 179…