A ladder 5 m long rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 1/2m/s, how fast is the bottom of the ladder sliding away from the wall when the top of the ladder is 4 m fromthe ground?O a. The ladder is sliding away from the wall at a rate -2/3 m/sO b. The ladder is sliding away from the wall at a rate 1/2 m/5O. The ladder is sliding away from the wall at a rate -1/2 m/sO d. The ladder is sliding away from the wall at a rate 2/3 m/sO e. The ladder is sliding away from the wall at a rate 2 m/s

Answered: Image /qna-images/answer/d88b2400-882c-4cc7-aa2d-0cc6d303be73.jpg

A ladder 5 m long rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 1/2 m/s, how fast is the bottom of the ladder sliding away from the wall when the top of the ladder is 4 m from the ground?

A ladder 5 m long rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 1/2 m/s, how fast is the bottom of the ladder sliding away from the wall when the top of the ladder is 4 m from the ground?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

See similar textbooks

Related questions

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

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 ladder 10 ft. long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: A ladder 10 ft. long If the bottom of the ladder slides away from the wall at a rate of 2 ft./sec.,…

Q: A ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

A: Given A ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

Q: A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is…

A: Given: The trough is being filled with water at the rate of 0.3 m3/min, dVdt=0.3 m3/min

Q: A 10-metre ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

Q: A weight is attached to one end of a 33-foot rope which passes over a pulley 18 feet above the…

A: The above problem statement can be pictorially represented as:

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

Q: A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1…

A: Given that

Q: 3. A 20 ft ladder is leaning against a wall and begins to slide. How fast is the top of the ladder…

A: A 20ft ladder is leaning against a wall and begins slide.The ladder is 12ft away from the wall and…

Q: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A: First I have draw the graph of given problem and then solved them using Pythagoras theorem. The foot…

Q: A 10-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

Q: A 46 ft ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

Q: Water is pouring from a hole at the rate of 25 cu. m per minute and is forming a conical pile on the…

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

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

Q: A ladder 20 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

Q: A 13-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the…

A: Given that A 13-foot ladder is leaning against a vertical wall after pulling the foot of the…

Q: A ladder 8 m long leans against a model home. If the bottom of the ladder slides away from the…

A: Given- A ladder 8 m long leans against a model home. If the bottom of the ladder slides away from…

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

A: Please see the answer below.

Q: The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. At the moment when the…

A: Let the length of the ladder is L.

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: A 10-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

A: Solution..

Q: A 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 3 ft/s, how…

Q: A 10-ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

A: GivenA 10-ft ladder is leaning against wall .{ HereAB is wallAC is ladder }Let the height of the…

Q: A 5 meter long ladder is leaning against a wall. If the bottom of the ladder is being pushed towards…

A: Let AB is h=5 m long ladder leaning against the wall AC. Distance between the bottom of the ladder…

Q: pushed

A: Given: A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being…

Q: A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1…

Q: A ladder 20 feet long is leaning against an embankment inclined 60 degrees to the horizontal. if the…

A: The ladder is leaning against an embankment inclined 60 degrees to the horizontal has length 20…

Q: The top of a ladder slides down a vertical wall at a rate of 1.5 m/s. At the moment when the bottom…

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

Q: A 13-ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

Q: A 13 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A: Let x be the distance between wall and bottom of ladder and y be the distance of top of ladder from…

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: A 20 foot ladder leans against a vertical wall. If the base of the ladder is pulled away from the…

Q: D. A ladder 10 feet long rests against a vertical wall. If the top of the ladder slides down at a…

A: Make a diagram according to the situation.

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

A: Let boy is at the point A, and when 100 ft cord is released the kite is at the point C, which is…

Q: A 15 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

Q: A small balloon is released at a point 150 feet away from an observer who is on level ground. If the…

A: we have to find

Q: A 15 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

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

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

Q: A ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed towards…

A: Given a ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed…

Q: A 20-ft ladder is leaning against a wall, and the top of the ladder is sliding down the wall at a…

A: We have been given a 20ft ladder which is leaning against a wall and is sliding down the wall AD.…

Q: The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. At the moment when the…

A: form a triangle with given information : let BC = x dxdt=0.5 AB = y dydt=-0.375 AC = z dzdt=0…

Q: A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is…

A: The volume of water trough = Area × Length Area of trapezium = 12×Sum of parallel sides×height…

Q: A ladder 20 ft long is leaning against an embankment inclined 60° to the horizontal. If the bottom…

A: Let x= distance of ladder from the embankment, y= vertical height. Given: dxdt=-1 ft/sec To find:…

Q: A ladder 13 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

Q: How do you solve question 2?

A: Let x= horizontal distance y= vertical distance Given that dx/dt=1 ft/sec We have to find dy/dt at…

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

A ladder 5 m long rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 1/2
m/s, how fast is the bottom of the ladder sliding away from the wall when the top of the ladder is 4 m from
the ground?
O a. The ladder is sliding away from the wall at a rate -2/3 m/s
O b. The ladder is sliding away from the wall at a rate 1/2 m/5
O. The ladder is sliding away from the wall at a rate -1/2 m/s
O d. The ladder is sliding away from the wall at a rate 2/3 m/s
O e. The ladder is sliding away from the wall at a rate 2 m/s

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning