A moving sidewalk in an airport moves people between gates. It takes Jason's 9 -year -old daughter Josie 40 sec to travel 200 ft walking with the sidewalk. It takes her 30 sec to walk 90 ft against the moving sidewalk (in the opposite direction).Find the speed of the sidewalk and find Josie's speed walking on non-moving ground. (See Example 8)
A moving sidewalk in an airport moves people between gates. It takes Jason's 9 -year -old daughter Josie 40 sec to travel 200 ft walking with the sidewalk. It takes her 30 sec to walk 90 ft against the moving sidewalk (in the opposite direction).Find the speed of the sidewalk and find Josie's speed walking on non-moving ground. (See Example 8)
A moving sidewalk in an airport moves people between gates. It takes Jason's
9
-year
-old daughter Josie
40
sec
to travel
200
ft
walking with the sidewalk. It takes her
30
sec
to walk
90
ft
against the moving sidewalk (in the opposite direction).Find the speed of the sidewalk and find Josie's speed walking on non-moving ground. (See Example 8)
CLIMBING IN YOSEMITE
David and Emily are climbing El Capitan, a big cliff wall in Yosemite National
Park. David is on the ground holding the rope attached to a carabiner (a rope
"pulley" that is on the wall) above Emily as she climbs. When Emily stops to rest,
David wonders how high she has climbed. The rope is attached to his waist, about 3
feet off the ground, and he has let out 48 feet of rope which goes up to the carabiner
and then back down the wall to Emily's harness. The rope at David's waist makes a
55° angle with the ground and he is standing 20 feet away from the base of the wall.
a. Assuming that the rope is taut (pulled tight), approximately how long is the rope between David and the carabiner
above Emily?
b. How high up the wall has Emily climbed? Describe your method.
I attached a picture of the question; I have most of it but I want to double check
Vicente is sitting at his lifeguard station on the beach when he sees a swimmer signaling for help. The
swimmer is 145 feet out to sea, on a straight line between the swimmer and the shore, and Vicente's
station is 240 feet down the beach from the nearest point on shore to the swimmer. (See diagram, which is
for illustrative purposes only and not to scale.)
145
240
Vicente can swim at a rate of 3 feet per second and can run at 6 feet per second along the beach.
a. How far should Vicente run from his tower down the beach, before entering the water and swimming the
rest of the way, to get to the swimmer as fast as possible? (If necessary, round result to 1 decimal place.)
ft.
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Thomas' Calculus: Early Transcendentals (14th Edition)
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