a man 6 ft tall is walking toward a building at the rate of 4 ft/sec. if there is a light on the ground 40 ft from the building, how fast is the man's shadow on the building growing shorter

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  1. differential calculus

    a man 6 ft tall is walking toward a building at the rate of 4 ft/sec. if there is a light on the ground 40 ft from the building, how fast is the man's shadow on the building growing shorter when he is 30 ft from the building?
  2. Differential calculus

    A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward the building at the rate of 5 ft/sec. Find the rate at which the length of his shadow is changing when he is 15 ft from the building.
  3. Calculus

    A man 1.69 meters tall is walking towards a building at the rate of 1.5 meters per second. If there is a light on the ground 15 meter from the building, how fast is the man's shadow on the building growing shorter when he is 5 meters from the building.
  4. Calculus

    A bright light on the ground illuminates a wall 12 meters away. A man walks from the light straight toward the building at a speed of 2.3 m/s. The man is 2 meters tall. When the man is 4 meters from the building, how fast is the length of his shadow on the building decreasing?
  5. Calculus

    A bright light on the ground illuminates a wall 12 meters away. A man walks from the light straight toward the building at a speed of 1.2 m/s. The man is 2 meters tall. When the man is 4 meters from the building, how fast is the length of his shadow on the building decreasing?
  6. calculus

    A bright light on the ground illuminates a wall 12 meters away. A man walks from the light straight toward the building at a speed of 1.1 m/s. The man is 2 meters tall. When the man is 4 meters from the building, how fast is the length of his shadow on the building decreasing...
  7. Cal.

    A bright light on the ground illuminates a wall 12 meters away. A man walks from the light straight toward the building at a speed of 2.2 m/s. The man is 2 meters tall. When the man is 4 meters from the building, how fast is the length of his shadow on the building decreasing...
  8. Calculus

    A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.5 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building?
  9. calculus

    a spotlight on the ground shines on a wall 12 m away. if a man 2m tall walks from the spotlight toward the building at a speed of 1.6m/s, how fast is the length of his shadow on the building decreasing when he is 4m from the building?
  10. Calculus

    A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building?
  11. Calculus

    If any body can solve this I would be greatly appreciative. I spent an hour in the tutoring center and no one could solve. Here goes: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s, how...
  12. Calculus

    A light is hung 15 ft above a straight horizontal path. If a man 6 ft tall is walking away from the light at the rate of 5 ft/sec, how fast is his shadow lengthening and at what rate is the tip of the man’s shadow moving?
  13. Calculus

    A spotlight on the ground is shining on a wall 12m away. If a woman 2m tall walks from the spotlight toward the building at a speed of 0.6m/s, how fast is the length of her shadow on the building decreasing when she is 2m from the building?
  14. calculus

    A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight toward the building at a speed of 1.2m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building?
  15. physics

    A man standing 15.0 ft away from a light pole which is an additional 85.0 ft from a building tries to estimate the height of the building which he has lined up with the top the light-pole. Since he knows that the light-pole is 20.0 ft tall and his line of vision is 5.00 ft ...
  16. Calculus

    A light hangs 15 ft. directly above a straight walk on which a man 6 ft. tall is walking. How fast is the end of the man's shadow travelling when he is walking away from the light at a rate of 3 miles per hour?
  17. Calculus Ab

    A 26 foot step ladder is leaned up against a 30 foot building to reach a window near the top. The ladder is being pushed toward the building in a horizontal direction of 2 feet per second. 1. Find each related rate when the ladder is 10 feet away from the building. a. How fast...
  18. math- bc calc

    a building is 36 ft tall. A pulley is attached to the top of the building. A rope is looped through the pulley. One end of the rope is attached to the lantern that hangs vertically parallel to the side of the building. The rope passes up vertically from the lantern, through ...
  19. math

    a man 1.9 meters tall walks away from a light 2.4m above the ground. if his shadow lengthens at a rate of 0.6 m/s, how fast is walking?
  20. Calculus

    A spotlight on the ground is shining on a wall 24\text{m} away. If a woman 2\text{m} tall walks from the spotlight toward the building at a speed of 0.6\text{m/s}, how fast is the length of her shadow on the building decreasing when she is 2\text{m} from the building?
  21. Calculus

    A 5ft tall person is walking toward a light 20ft off the ground at 8 ft/sec. What is the rate of change of the length of the persons shadow when they are 15ft away from the light? What is the speed of the tip of the shadow moving?
  22. Calculus

    A man is 6ft tall and is walking at night straight toward a lighted street lamp at a rate of 5 ft/sec. If the lamp is 20 ft above the ground, find the rate at which the length of his shadow is changing.
  23. physics

    a man throws a rock horizontally off a building with an initial velocity of 22.4 m/s. it hits the ground 91.6 m from the building. how tall is the building? (positive value)
  24. diffirential calculus

    a woman 6ft tall walks away from a light 10ft above the ground. if her shadow lengthens at the rate of 2ft/sec. how fast is she walking?
  25. Calculus- rates

    A man 6ft. tall walks at the rate of 5 ft/sec toward a streelight that is 16 ft. above the ground. At what rate is the length of his shadow changing when he is 10ft. from the base of the light?
  26. Math

    a man 6ft tall walks at the rate of 5ft/sec toward a streetlight that is 16ft above the ground. At what rate is the length of his shadow changing when he is 10ft from the base of the light?
  27. physics

    While standing on top of a 323 m tall building, you see Iron Man flying straight down toward the ground at a speed of 35.0 m/s. Just as he passes you, you drop a can of Dr Pepper off the roof. How fast is the can going when it passes Iron Man?
  28. physics

    While standing on top of a 256 m tall building, you see Iron Man flying straight down toward the ground at a speed of 32.0 m/s. Just as he passes you, you drop a can of Dr Pepper off the roof. How fast is the can going when it passes Iron Man?
  29. science

    2.007 sec. for a pebble released from the top of the building to reached the ground. How tall is the building
  30. Physics

    You drop an object from atop a building and it takes 7.20-sec before it hits the ground. Assume that there is no air resistance, how tall is this building?
  31. Math: Word Problem

    A ball is thrown upward from the top of a building which is 96ft tall w/ Initial velocity of 80 ft per sec. Distance s(ft) of ball from the ground after t sec is s=96+80t-16t^(2) 1) how many sec. will the ball pass the top of the building when it is coming down? How would I ...
  32. calculus

    A fence 8 feet tall stands on level ground and runs parallel to a tall building. If the fence is 1 foot from the building, find the shortest ladder that will extend from the ground over the fence to the wall of the building.
  33. calculus

    a light sitting on the ground is shining onto a wall 20 feet away from the light. if a 5 foot person is walking toward the light at 4 ft/sec., how fast is the shadow moving up or down the wall when he is 15 feet from the wall?
  34. Calculus

    A street light is hung 18 ft. above street level. A 6-foot tall man standing directly under the light walks away at a rate of 3 ft/sec. How fast is the tip of the man's shadow moving? I know I would've to set up a proportion. 18 / 6 = x + y / y x = distance of man from light y...
  35. Calculus

    A fence 5 feet tall runs parallel to a tall building at a distance of 7 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building? [Hint: Determine the length of a ladder that touches the ...
  36. college physics

    A stone is thrown horizontally from the top of a building with a speed of 29.5 m/sec. It lands 56.3 meters from the base of the building. How long was it in the air, and how tall is the building?
  37. Calculus II

    A 24 foot ladder is leaning against a building. Let x be the distance between the bottom of the ladder abd the building and let theta be the angle between the ladder and the ground. Suppose the bottom of the ladder is sliding away from the wall at a rate of 2 ft/sec. When x=6...
  38. physics

    A brick is released with no initial speed from the roof of a building and strikes the ground in 1.50 {s}, encountering no appreciable air drag. A. How tall, in meters, is the building? B.How fast is the brick moving just before it reaches the ground?
  39. physics

    A brick is released with no initial speed from the roof of a building and strikes the ground in 1.50 {s}, encountering no appreciable air drag. A. How tall, in meters, is the building? B.How fast is the brick moving just before it reaches the ground?
  40. physics

    Joel is walking down a street and sees a 115 ft tall building in front of him. He stops 190 feet from the base of the building at the tip of the building's shadow. Round answers to three decimal places.
  41. Calculus-rates

    1.) A man 6 ft tall walks at a rate of 5 ft per sec. from a light that is 15 ft above the ground. At what rate is the top of his shadow changing? 2.) An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of the plane is 600 mph. Find ...
  42. calculas

    A man 5.00 ft tall approaches a street light 17.0ft above the ground at the rate of 4.00 ft/s. How fast is the end of the man's shadow moving when he is 9.0 ft from the base of the light? The end of the man's shadow is moving at a rate of_ft/s
  43. Calculas

    A man 6.5 ft tall approaches a street light 17.0ft above the ground at the rate of 8.00 ft/s. How fast is the end of the man's shadow moving when he is 5.0 ft from the base of the light? The end of the man's shadow is moving at a rate of_ft/s
  44. Calculus

    A fence 8 ft. tall runs parallel to a tall building at a distance 4 ft. from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  45. Math

    A fence 8 ft tall runs parallel to a tall building at a distance of 4 ft from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  46. Maths

    A fence that is 4 metres tall runs parallel to a tall building at a distance of 1 metre from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  47. Trigonometry

    The angles of elevation of an office building as observed from the top and ground level of a 10 meters tall residential building are 68° and 72° respectively. How tall is the office building? How far apart are the two buildings?
  48. calculus

    A woman 5.5 ft tall walks at a rate of 6 ft/sec toward a streetlight that is 22 ft above the ground. At what rate is the length of her shadow changing when she is 15 ft from the base of the light?
  49. Physics

    A man stands on the roof of a building that is 50 m tall and throws a rock with a velocity of 35 m/s at an angle of 50 degrees above the horizontal (a) What is the total time in the air (b) What is the horizontal distance from the base of the building to the point where the ...
  50. Physics

    A man stands on the roof of a building that is 50 m tall and throws a rock with a velocity of 35 m/s at an angle of 50 degrees above the horizontal (a) What is the total time in the air (b) What is the horizontal distance from the base of the building to the point where the ...
  51. physics

    A rock is projected from the edge of the top of a building with an initial velocity of 19.6 m/s at an angle of 31 degrees above the horizontal. The rock strikes the ground a horizontal distance of 77 m from the base of the building. The acceleration of gravity is 9.8 m/s^2.(...
  52. math

    a man standing on ground level is 1000 feet away from the base of a 350 feet tall building. Find,to the nearest degree,the measure of the angle of elevation to the top of the building from the point on the ground where the man is standing? How do you solve for this measurement...
  53. calculus

    The three pigls are building their houses while the brik=ck house building pig and the stick house building pig are working at a steady rate, the straw house building pig(knowing the wolf will arrive first at his house) is frantically increasing his rate of building by 2feet/...
  54. trig

    The angle of elevation to the top of a very tall Building is found to be 15° from the ground at a distance of 1 mi from the base of the building. Using this information, find the height of the building
  55. trig

    The angle of elevation to the top of a very tall Building is found to be 9° from the ground at a distance of 1 mi from the base of the building. Using this information, find the height of the building.
  56. trig

    The angle of elevation to the top of a very tall Building is found to be 9° from the ground at a distance of 1 mi from the base of the building. Using this information, find the height of the building.
  57. Physics

    A baseball is projected horizontally from the top of a building with an initial speed of 15 m/s. The ball strikes the ground 25 m from the base of the building. a. How long will it be in the air? b. How tall is the building?
  58. Math: Calculus

    A fence 6 feet tall runs parallel to a tall building at a distance of 2 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  59. Calc Help Please

    A fence 2 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building? Help!
  60. physics

    A 0.67 kg rock is projected from the edge of the top of a building with an initial velocity of 11.6 m/s at an angle 52 ◦ above the horizontal. Due to gravity, the rock strikes the ground at a horizontal distance of 19.5 m from the base of the building. How tall is the ...
  61. Physics

    A 0.54 kg rock is projected from the edge of the top of a building with an initial velocity of 13.8 m/s at an angle 59◦ above the horizontal.Due to gravity, the rock strikes the ground at a horizontal distance of 20.3 m from the base of the building.How tall is the ...
  62. Calc

    A fence 5 feet tall runs parallel to a tall building at a distance of 5 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  63. Math

    A fence 4 feet tall runs parallel to a tall building at a distance of 2 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  64. calculus

    A fence 4 feet tall runs parallel to a tall building at a distance of 5 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  65. Calculus

    A fence 6 feet tall runs parallel to a tall building at a distance of 7 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  66. Calculus

    A fence 2 feet tall runs parallel to a tall building at a distance of 6 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  67. Calculus

    A fence 4 feet tall runs parallel to a tall building at a distance of 6 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  68. calculus

    A fence 5 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  69. calculus

    A fence 5 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  70. Calculus

    A fence 8 feet tall runs parallel to a tall building at a distance of 6 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  71. Calculus

    A fence 3 feet tall runs parallel to a tall building at a distance of 7 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  72. Calculus

    fence 3 feet tall runs parallel to a tall building at a distance of 7 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  73. Calculus

    A fence 4 feet tall runs parallel to a tall building at a distance of 2 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  74. Math

    A fence 3 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  75. Calculus

    A fence 6 feet tall runs parallel to a tall building at a distance of 20 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  76. Pre-Calc

    A man stands on the roof of a building so that his eyes are 132m above ground level. A trash can is on the ground 67.5m away from the building on the line directly beneath the man. What is the angle of depression of the man's line of sight to the trash can on the ground?
  77. mathd

    From point A,the angle of elevation to the top of a tall building is 20 degrees.On walking 80 m towards the building,the angle of elevation is now 23 degrees.How tall is the building?
  78. physics

    two tall buildings are 80 m apart. A ball is thrown at 100 m/sec from one building toward the other but at an angle of 37 degrees below the horizontal. Find the vertical distance through which the ball falls before it hits the other building.
  79. trig

    A man is between two tall buildings 8m away from the taller building. If the angle of the top of the building from where he stans bears N 8degrees W for the taller one and N 12degrees E for other. How far is he from the other building if the taller building is 6/5 as to the other
  80. trig

    Question Part Points Submissions Used The angle of elevation to the top of a very tall Building is found to be 7° from the ground at a distance of 1 mi from the base of the building. Using this information, find the height of the building.
  81. physics

    If an object is dropped from a tall building and hits the ground 3.0 s later, how tall is the building?
  82. Calculus

    A man 5.50 ft tall approaches a street light 18.0 ft above the ground at a rate of 4.0 ft/s. at what rate is the end of the man's shadow moving when he is 9.0 ft from the base of the light?
  83. Math

    A length of rope is stretched between the top edge of a building and a stake in the ground. The head of the stake is at ground level. The rope also touches a tree that is growing halfway between the stake and the building. If the tree is 38 feet tall, how tall is the building...
  84. Calculus Please Help!!

    "A 13-foot ladder is leaning against a building when its base begins to slide away from the base of the building. By the time the base is 12 feet from the building, the base is moving at the rate of 6 ft/sec. How fast is the top of the ladder sliding down the wall at that ...
  85. Physics

    A projectile is kicked horizontally off a tall building with an initial velocity of 13.7 m/s. The projectile lands 56.2 m away from the base of the building. How long is the projectile in the air? How tall is the building? What is the velocity of the projectile when it strikes...
  86. physics

    A snowball is thrown horizontally with a speed of 23.9 m/s from the top of a campus building. It takes the snowball 1.91 sec to travel from the top of the building to the parking lot below. How tall is the building?
  87. Math

    A fence 12ft high runs parallel to a tall building at a distance of 2ft from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  88. Calculus

    Answers to any of these questions would be of great help! (: 1 a) At noon, ship A is 150km west of ship B. Ship A is sailing south at 50km/h and ship B is sailing north at 30km/h. How fast is the distance between the ships changing at 4:00pm? b) A spotlight on the ground is ...
  89. Calculus

    Answers to any of these questions would be of great help! (: 1 a) At noon, ship A is 150km west of ship B. Ship A is sailing south at 50km/h and ship B is sailing north at 30km/h. How fast is the distance between the ships changing at 4:00pm? b) A spotlight on the ground is ...
  90. Pre-Calculus

    1.The angle of elevation to top of a building from a point on the ground 20degrees and the angle of elevation from a point to 25 feet farther away is 12degrees. Find the height of the building. 2.From a point on the ground, the angle of elevation to the top of a 60-ft radio ...
  91. precalculus

    A man is walking away from a lamppost with a light source h = 6 m above the ground. The man is m = 1.5 m tall. How long is the man's shadow when he is d = 11 m from the lamppost? (Hint: Use similar triangles.)
  92. algebra

    A man is walking away from a lamppost with a light source h = 6 m above the ground. The man is m = 1.5 m tall. How long is the man's shadow when he is d = 12 m from the lamppost? [Hint: Use similar triangles.]
  93. Math

    a building cast a 235 ft shadow along the ground. the angle of the sun's ray with the ground is 24 degrees. How tall is the building?
  94. geometry

    at a distance of 20m from a building, a person who is 3 m tall looks up at an angle of 25 degrees to see the top of the building. how tall is the building to the nearest meter?
  95. Physic

    When conducting a free fall experiment,Ali drop an egg from a 46 m tall building,accidently encik Abu is walking alongside the building was hit by the egg on the top of his head. If encik Abu height is 1.80m and he is walking alongside the building with constant speed of 1....
  96. Physics

    A rock thrown straight up with a velocity of 29 m/s from the edge of a building just misses the building as it comes down. The rock is moving at 44 m/s when it strikes the ground. How tall was the building? The acceleration of gravity is 9.8 m/s Answer in units of m
  97. Physics

    You are walking around your neighborhood and you see a child on top of a roof of a building kick a soccer ball. The soccer ball is kicked at 41° from the edge of the building with an initial velocity of 21 m/s and lands 59 meters away from the wall. How tall is the building ...
  98. math

    A man who is 1.6 m tall is walking on the road at a constant speed of 1 m/s. There is (only) one lamp placed 3.2 m above the road. At a specific moment the man was just under the lamp. What will be the rate at which the length of his shadow will be changing after: a) 2 sec b) ...
  99. math

    A man who is 1.6 m tall is walking on the road at a constant speed of 1 m/s. There is (only) one lamp placed 3.2 m above the road. At a specific moment the man was just under the lamp. What will be the rate at which the length of his shadow will be changing after: a) 2 sec b) ...
  100. geometry

    Marta is standing 4ft. Behind a fence 6 inches tall. When she looks over the fence, she can just. See the top of a building. She knows that the building is 32 ft. 6 inches behind the fence. Her eyes are 5 ft. From the ground. How tall is the building?
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