A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The top of the ladder is being pulled up the wall at 0.1 meters per second. How fast is the foot of the ladder approaching the wall when the foot of the ladder is 5 m from the wall?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterP: Prologue: Calculator Arithmetic
Section: Chapter Questions
Problem 18E: When the Radius Increases a. A rope is wrapped tightly around a wheel with radius of 2 feet. If the...
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Question 4 pls
5:02
1 MAF Carrefour
worksheet (2) for a...
Erercises 6.2.
1. A cylindrical tank standing upright (with one circular base on the ground) has radius 20
cm. How fast does the water level in the tank drop when the water is being drained at 25
cm'/sec?
2. A cylindrical tank standing upright (with one circular base on the ground) has radius 1
meter. How fast does the water level in the tank drop when the water is being drained at 3
s per second?
3. A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The
foot of the ladder is pulled away from the wall at the rate of 0.6 m/sec. How fast is the top
sliding down the wall when the foot of the ladder is 5 m from the wall? =
4. A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The
top of the ladder is being pulled up the wall at 0.1 meters per second. How fast is the foot
of the ladder approaching the wall when the foot of the ladder is 5 m from the wall? >
5. A rotating beacon is located 2 miles out in the water. Let A be the point on the shore that
is closest to the beacon. As the beacon rotates at 10 rev/min, the beam of light sweeps down
the shore once each time it revolves. Assume that the shore is straight. How fast is the point
where the beam hits the shore moving at an instant when the beam is lighting up a point 2
miles along the shore from the point A? =
6. A baseball diamond is a square 90 ft on a side. A player runs from first base to second base
at 15 ft/sec. At what rate is the player's distance from third base decreasing when she is
half way from first to second base? =
EXAMPLE 6.2.6
A road running north to south crosses a road going east to west at
the point P. Car A is driving north along the first road, and car B is driving east along the
second road. At a particular time car A is 10 kilometers to the north of P and traveling at
80 km/hr, while car B is 15 kilometers to the east of P and traveling at 100 km/hr. How
fast is the distance between the two cars changing?
e(1)
(b(t).0)
Transcribed Image Text:5:02 1 MAF Carrefour worksheet (2) for a... Erercises 6.2. 1. A cylindrical tank standing upright (with one circular base on the ground) has radius 20 cm. How fast does the water level in the tank drop when the water is being drained at 25 cm'/sec? 2. A cylindrical tank standing upright (with one circular base on the ground) has radius 1 meter. How fast does the water level in the tank drop when the water is being drained at 3 s per second? 3. A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at the rate of 0.6 m/sec. How fast is the top sliding down the wall when the foot of the ladder is 5 m from the wall? = 4. A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The top of the ladder is being pulled up the wall at 0.1 meters per second. How fast is the foot of the ladder approaching the wall when the foot of the ladder is 5 m from the wall? > 5. A rotating beacon is located 2 miles out in the water. Let A be the point on the shore that is closest to the beacon. As the beacon rotates at 10 rev/min, the beam of light sweeps down the shore once each time it revolves. Assume that the shore is straight. How fast is the point where the beam hits the shore moving at an instant when the beam is lighting up a point 2 miles along the shore from the point A? = 6. A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15 ft/sec. At what rate is the player's distance from third base decreasing when she is half way from first to second base? = EXAMPLE 6.2.6 A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and car B is driving east along the second road. At a particular time car A is 10 kilometers to the north of P and traveling at 80 km/hr, while car B is 15 kilometers to the east of P and traveling at 100 km/hr. How fast is the distance between the two cars changing? e(1) (b(t).0)
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