SOLUTION: 1.) A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second.
A.) 24 feet away from the w
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A.) 24 feet away from the w
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Question 1141872: 1.) A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second.
A.) 24 feet away from the wall? _____ ft/sec
B.) Consider the triangle formed by the second side of the house, ladder, and the ground. Find the rate at which the are of the triangle is changing when the base of the ladder is 24 feet from the wall. _____ ft^2/sec
C.) Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 24 feet from the wall. _____ rad/sec
2.) An air traffic controller spotty two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 150 miles from the point and has a speed of 300 miles per hour. The other is 200 miles from the point and has a speed of 400 miles per hour.
A.) At what rate is the distance between the planes changing?
3.) A (square) baseball diamond has sides that are 90 feet long. A player 30 feet from third base is running at a speed of 29 feet per second. At what rate is the player's distance from home plate changing? (Round to 2 decimal places). _______ ft/sec
4.) An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane is 10 miles away (s = 10), the radar detects that the distance is changing at a rate of 230 miles per hour. What is the speed of the airplane? ________ mph
THANK YOU SO MUCH FOR YOUR HELP IT IS GREATLY APPRECIATED AND IM FOREVER INDEBTED FOR YOUR HELP. THANKS AGAIN!!!!!! Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! 1.) A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second.
A.) 24 feet away from the wall? _____ ft/sec
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Not clear. what's the question.
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2.) An air traffic controller spotty two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 150 miles from the point and has a speed of 300 miles per hour. The other is 200 miles from the point and has a speed of 400 miles per hour.
A.) At what rate is the distance between the planes changing?
Call the planes A & B. A is going 300 mi/hr.
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A's distance from the intersection point is 150 - 300t
B's distance is 200-400t
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The distance between the at time t is the hypotenuse:
Differentiate wrt t
dh/dt =
dh/dt =
dh/dt =
