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. 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.
  3. 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.
  4. 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
  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
  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 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
  7. 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
  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 1.6 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 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?
  10. 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?
  11. 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
  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

    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
  14. 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?
  15. 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 =
  16. 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)
  17. math

    A 6ft man stands next to a 100ft. tall building. the man's shadow is 8ft. long. How long is the building's shadow?
  18. 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
  19. 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?
  20. 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?
  21. 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?
  22. Math 9

    A 6 m flagpole casts a 5 m shadow at the same time of the day as a building casts a 28m shadow. How tall is the building? I drew out a flag and a building, with a shadow coming from the top to the ground. What do i do next?
  23. CALCULUS

    At 3:00 PM a man 144 cm tall casts a shadow 146 cm long. At the same time, a tall building nearby casts a shadow 171 m long. How tall is the building? Give your answer in meters. (You may need the fact that 100 cm = 1 m.)
  24. 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.
  25. 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
  26. 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
  27. math

    At 3:00 PM a man 146 cm tall casts a shadow 136 cm long. At the same time, a tall building nearby casts a shadow 177 m long. How tall is the building?
  28. 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
  29. 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
  30. Algebra 2

    Can someone please explain how to do this problem? A 450 foot tall building is near a shorter building. A person on top of the shorter building finds the angle of elevation of the roof of the taller building to be 25 degrees and the angle of depression of
  31. 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
  32. Math help

    A painter needs to know the height of a building to estimate the amount of paint needed for the front side. When the building cast an 18 ft shadow, the 6 ft tall painter casts a 3 ft long shadow. How tall is the building? Would it be 36 ft?
  33. math

    a building casts a 25 foot shadow on a sunny day. If the angle of elevation from the tip of the shadow to the top of the building is 65 degrees, what is the height of the building to the nearest tenth of a foot? I did tan =x/25 x=25tan65 x=53.61267301
  34. 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.)
  35. 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.]
  36. 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
  37. 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
  38. 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
  39. Math

    From the top of a 200 foot building, a bird is sighted overhead and a man is observed directly below the bird at ground level. The angle of elevation of the bird is 16*, and the angle of depression of the man is 43* find : a) the distance from the top of
  40. Physics

    In a scene in an action movie, a stunt man jumps from the top of one building to the top of another building 3.5 m away. After a running start, he leaps at an angle of 14 with respect to the flat roof while traveling at a speed of 5.6 m/s. The
  41. 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
  42. Math

    From the top of a 200 foot building, a bird is sighted overhead and a man is observed directly below the bird at ground level. The angle of elevation of the bird is 16*, and the angle of depression of the man is 43* find : a) the distance from the top of
  43. 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
  44. physic

    A ball is launched horizontally at 5 m/s from the top of a 45 m tall building. A man stands at rest 6 m from the base of the building. If there is a 0.3 s reaction time for the man to start moving once he sees the ball launched, find the magnitude of the
  45. math

    The sun hits a building of unknown height so that the building casts a shadow of 517 feet. If the angle of elevation from the tip of the shadow to the sun is 16 degrees, how tall is the building?
  46. physics

    In a scene in an action movie a person is being chased across a roof top. To escape, the person runs off the edge of the building and falls to the roof of a nearby shorter building. The tall building is 50m high, the short building is 40m high and there is
  47. 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
  48. 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?
  49. geometry

    A vertical mast is on top of building and is positioned 6' from edge of building. The mast casts a 90' shadow from front of building. Another building 24' tall casts a shadow 64'. What is the height of the mast?
  50. English

    Thoreau included the following sentence in Walden: "There is some of the same fitness in a man's building his own house that there is in a bird's building its own nest." Which of the following statements rephrases his literal comparison as a metaphor? A. A
  51. English

    Thoreau included the following sentence in Walden: "There is some of the same fitness in a man's building his own house that there is in a bird's building its own nest." Which of the following statements rephrases his literal comparison as a metaphor? A. A
  52. Algebra

    A 5 ft man cast a shadow of 3 ft standing next to a 22ft building. How far is the man standing from the building?
  53. Math

    A building casts a shadow of 8.5 meters when a man, 1.68 meters tall, casts a shadow of 1.1 meters.Find the height of the building.
  54. 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?
  55. Calculus AB

    There's these two word problems I don't understand. 1. A man 6 ft tall walks at a rate of 5 ft per second toward a streetlight that is 30 feet high. The man's 3-foot-tall child follows at the same speed, but 10 feet behind the man. a) Suppose the man is 90
  56. math

    A man walks directly from point A towards the foot of a tall building 240m away. After covering 180m, he observes that the angle of the top of the building is 45. Determine the angle of elevation of the top of the building from A.
  57. 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?
  58. 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?
  59. 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?
  60. Calculus

    (It's a related rate question) A man 6ft tall walks away from a lamp post (15ft) at 5ft/sec. How fast is his shadow lengthening? --- I have the picture, and the constants, the man and the lamp post. I have 5ft/sec as dw/dt, and I know I'm looking for
  61. math

    You want to determine the height of your school. The building casts a 6 foot shadow at the same time you cast a 15 inch shadow. If you are 5 feet tall how tall is the building?
  62. Math

    On level ground, a 60-foot-tall vertical building casts a 10-foot shadow. at the same time, another vertical building casts a 25-foot shadow. how many feet tall is the second building?
  63. science

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

    A 12ft tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 18 ft . Find the length of the shadow.
  65. Math - Trig

    1. When you look down from the top of a building at an angle of 63degrees, you will see a man reading a newspaper. If the building is 50m high, how far is the man from the building? 2. A plane takes off at an angle of 15deg20'. How high will it have risen
  66. Physics!!!!!!

    In a scene in an action movie, a stunt man jumps from the top of one building to the top of another building 5.0 m away. After a running start, he leaps at an angle of 10◦ with respect to the flat roof while traveling at a speed of 5.6 m/s. The
  67. 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?
  68. 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
  69. 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
  70. Algebra

    One more... Faye wants to know how tall her school building is. On a sunny day, she measures the shadow of the building to be 6 feet. At the same time, she measures the shadow cast by a 5 foot statue to be 2 feet. How tall is her school building? Thank you
  71. physics

    In a scene in an action movie, a stunt man jumps from the top of one building to the top of another building 4.4 m away. After a unning start, he leaps at an angle of 17◦ with respect to the flat roof while traveling at a speed of 4.3 m/s. The
  72. Physics

    In a scene in an action movie, a stunt man jumps from the top of one building to the top of another building 5.0 m away. After a running start, he leaps at an angle of 10◦ with respect to the flat roof while traveling at a speed of 5.6 m/s. The
  73. 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?
  74. 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?
  75. physics

    In a scene in an action movie, a stunt man jumps from the top of one building to the top of another building 4.9 m away. After a running start, he leaps at an angle of 17 ◦ with respect to the flat roof while traveling at a speed of 5.8 m/s. The
  76. Math

    A man 6 1/2 feet tall casts a shadow that is 11 feet long . A building casts a shadow of 132 feet long. What is the height if the building?
  77. 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?
  78. 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.
  79. 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?
  80. physics

    1. A child stands before a tall building and wants to know how high it is. She notices that it is a sunny day, so armed with a meter stick, the fact that she is 1.2 meters tall, and a knowledge of similar triangles, she proceeds to measure the building’s
  81. calculus

    A light is attached to the wall of a building 64 feet above the ground. A ball is dropped from the same height, but 20 feet away from the side of the building. The height y of the ball at time t is given by y(t) = 64 − 16t 2 . How fast is the shadow
  82. 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
  83. 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.
  84. 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.
  85. Math

    A man standing on top of a 100 foot building sites the top of a nearby building at an angle of elevation of 3.14/8. If he knows the nearby building is 160 feet high,what is his horizontal distance from that building.
  86. Physics

    A man chased by the army, leaps with speed 12 m/s at a 47 degree angle above the horizontal from the top of a building. If he lands 40.0 m from the base of the building, then finds the height of the building
  87. 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.
  88. Math

    a person 2m tall casts a shadow 1 m long when a building has a 6-m shadow. How high is the building? any help would be greatly appreciated!
  89. 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
  90. Trigonometry

    A building 200 feet tall casts an 80 ft long shadow. If a person looks down from the top of the building which of the following is the measure of the angle between the end of the shadow and the vertical side of the building to the nearest degree? I
  91. math

    6. In a residential building, the ratio of man and woman is 5 to 8. In August, there are 30 men and 10 women moving out from the building. After that, the ratio of man and woman in this building is 1 to 2. How many men were there in the building before
  92. 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?
  93. Calculus

    Shadow Length A man 6 feet tall walks at a rate of 3 ft per second away from a light that is 16 ft above the ground (see figure). When he is 11 ft from the base of the light find the following. (a) The rate the tip of the shadow is moving. (b) The rate the
  94. 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?
  95. 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?
  96. 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?
  97. 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?
  98. Physics

    A man stands on the roof of a 10.0 -tall building and throws a rock with a velocity of magnitude 30.0 at an angle of 38.0 above the horizontal. You can ignore air resistance. Calculate the horizontal distance from the base of the building to the point
  99. physics

    A man stands on the roof of a 10.0 -tall building and throws a rock with a velocity of magnitude 30.0 at an angle of 34.0 above the horizontal. You can ignore air resistance. Calculate the horizontal distance from the base of the building to the point
  100. physics

    A man stands on the roof of a 10.0 -tall building and throws a rock with a velocity of magnitude 30.0 at an angle of 34.0 above the horizontal. You can ignore air resistance. Calculate the horizontal distance from the base of the building to the point