A 55 kg hiker starts at an elevation of 1600 m and climbs to the top of a 3400 m peak. (a) What is the hiker's change in potential energy?

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  1. Trig

    From a point P on level ground, the angle of elevation of the top of a tower is 27°10'. From a point 23.0 meters closer to the tower and on the same line with P and the base of the tower, the angle of elevation of the top is 51°30'. Approximate the

  2. math

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  3. calculus

    2. Worldwide annual sales of all cell phones is approximately -10p + 1600 million phones when the wholesale price is $p. a) If manufacturers are prepared to supply q = 14p – 800 million phones per year at a wholesale price $p, what would be the

  4. physics

    A hiker climbs a hill 300m high.If she weighs 50kg,calculate the work she does in lifting her body to the top of the hill

  5. math

    A hiker is climbing at a constant rate of 2.4 miles per hour. Part A If d represents the distance the hiker climbed and h represents the time in hours, write an equation to model the relationship. Explain your answer. Complete the table by determining the

  6. Physics

    How much work is done when a mass of 3 kg (weighing 30 N) is lifted vertically through 6 m?. A hiker climbs a hill 300 m high. If she has a mass of 50 kg calculate the work she does in lifting her body to the top of the hill.

  7. Math

    1. A rangers tower is located 44m from a tall tree. From the top of the tower, the angle of elevation to the top of the tree is 28 degrees and the angle of depression to the base is 36 degrees. How tall is the tree? 2. An engineer determines that the angle

  8. Trigonometry

    The angle of elevation from a point on the ground to the top of a pyramid is 23^•(degree)40^’(minutes). The angle of elevation from a point 112 ft farther back to the top of the pyramid is 15^•30’. Find the height of the pyramid.

  9. Pre-Calculus

    Driving down Bald Mountain in Wyoming, Bob dean finds that he descends 1600 feet in elevation by the time he is 2.5 miles (horizontally) away from the high point on the mountain road. Find the slope of his descent (Hint: 1 mile = 5280 feet) After

  10. geometry

    An engineer is 980 ft from the base of a fountain at Fountain Hills, Arizona. The angle of elevation to the top of the column of water is 29.78. The surveyor’s angle measuring device is at the same level as the base of the fountain A.280 When the top of

  11. Math Trignometry

    . From the top of the 800-foot-tall Cartalk Tower, Tom sees a plane; the angle of elevation is 67°. At the same instant, Ray, who is on the ground 1 mile from the building, notes that his angle of elevation to the plane is 81° and that his angle of

  12. trigonometry

    a man measured the angle of elevation of the top of a tower to be 70 degree. When he walked 300 m. further, the angle of elevation of the top was 35 degree. What is the height of the tower?

  13. MATH TRIG

    FROM A DISTANCE OF 80 M. THE ANGLE OF ELEVATION OF THE TOP OF A FLAGPOLE IS 18 DEGREES. dETERMINE THE HEIGHT OF THE FLAGPOLE.(NEAREST TETH OF A M. mY CONFUSION IS ANGLE OF DEPRESSION AND ANGLE OF ELEVATION. mY TECHER CALLS FROM TOP ELEVATION WHILE i INSIST

  14. 4 grade

    A snail climbs up a wall 20 feet high. Each day the snail climbs 5 feet, but each night it slips backwards 4 feet. How many days will it take for the snail to get to the top of the wall?

  15. Physics

    A car of mass 1100 kg starts from rest at sea level and climbs a hill of altitude 50 m. At the top of the hill the car has a speed of 25 m/s. From the top of the hill the driver turns off the engine and coasts down to an altitude of 15 m. Assume the

  16. PHSYICS

    A HIKER SHOUTS TOWARD A VERTICAL CLIFF 685 M AWAY. THE ECHO IS HEARD 4.00 SECONDS LATER. WHAT IS THE SPEED OF SOUND OF THE HIKER'S VOICE IN AIR?

  17. trigonometry

    the angle of elevation of the top of the tower from the foot of a flagpole is twice the angle of elevation of the top of the flagpole from the foot of the tower. at the point midway between the tower and the flagpole, the angles of elevation to their tops

  18. Math

    to measure the height of the Eiffel Tower in Paris, a person stands away from the base and measures the angle of elevation to the top of the tower to be 60 degrees. Moving 210 feet closer, the angle of elevation to the top of the tower is 70 degrees. How

  19. Science

    Three people hiked to the top of the hill represented by the following topographic map. Each hiker started at the same elevation but at different locations around the hill. Use this map for questions 4 - 6. (All of them are at a elevation of 180 meters and

  20. math

    The graph shows a relationship between two quantities. Which scenario best describes the graph? A. A bank account balance increases over time. B. A rock is dropped from a bridge into a pond and goes under water. C. A student begins working on a project

  21. Physics

    A 56.6kg hiker starts at an elevation of 1270m and climbs to the top of a 2660 peak. (I know the answers to B and C, I just have a question on A) A) What is the change in the hikers potential energy? I took PE=mg(h2-h1) and got

  22. Math Olympiad

    Lara starts at the bottom of a long staircase. She climbs exactly 2/3 of the stairs. Then, she goes back down exactly 1/2 of the way to the bottom. From that spot, she climbs exactly 2/3 of the way to the top. Finally from there, she climbs 6 stairs to

  23. Physics: Vectors

    A hiker walks 10.0 km[NE], 5.0 km[W], and then 2.0 km[S] in 2.5 h. (a) What is the hiker's displacement? (b) In what direction must the hiker set out, in order to return by the most direct route to the starting point? (c) If the hiker walks at a constant

  24. Physics

    A hiker shouts toward a vertical cliff 675 m away. The echo is heard 4.00 s later. (a) What is the speed of sound of the hiker's voice in air? m/s (b) The wavelength of the sound is 0.774 m. What is its frequency? Hz (c) What is the period of the wave?

  25. math

    the angles of elevation of the top of a house from the bottom of a tower 160m high is 26° from the top of a tower the angle of elevation is 24°. what is the height of the house if the tower and the house are 50m apart?

  26. physics

    A 55 kg hiker starts at an elevation of 1600 m and climbs to the top of a 3400 m peak. (a) What is the hiker's change in potential energy?

  27. phsycis

    A 62 kg hiker climbs to the top of a 3700 m-high mountain. The climb is made in 5.0 h starting at an elevation of 2600 m. Calculate the average power output in watts. Calculate the average power output in horsepower.

  28. Physics

    A caterpillar climbs up a one-meter wall. For every 2 cm it climbs up, it slides down 1 cm. It takes 10 minutes for the caterpillar to climb to the top. What is the distance traveled? (Round the number to the nearest hundred.) >How do you calculate this?

  29. Math help

    hiker is standing at a location with an elevation of 77 feet. If he climbs up 37 feet, find his new position relative to sea level. 77ft +37ft = 114ft Do I need to convert 114ft into Meters ?? I don’t really understand the question..please help me. Thank

  30. maths

    from a certain spot, the top of a triangle had an angle of elevation of 40 degree. move 15meter in a straight line towards the flag pole.Now to the top has an angle of elevation of 60degree.Find the height of the flagpole and it's distance from the second

  31. Physics

    An 80 kg hiker climbs a 1000 m high hill at a constant speed. If the hiker's body is 25% efficient, how many kg of fat does the hiker burn in climbing the hill? Given: heat of reaction of body fat is 37000 kilo joules per kilogram. I know that change in

  32. Math Pythagorean

    A hiker goes 3 miles north, 2 miles east, one mile south, 4 miles east and then 2 miles north. After an injury, he sends his coordinates to a helicopter rescue team. If the helicopter starts at the same place as the hiker did, and it flew in a straight

  33. math

    A man is standing 35 m from a building. On top of the building is a flg. From the man, the angle of elevation of the top of the building is pi/6 radians and the angle of elevation of the top of the flag is pi/3 radians. Determine an exact expression for

  34. maths

    from a point P on a level ground and directly west of a pole,the angle of elevation from the top of the pole is 045 and from point Q east of the pole the angle of elevation of the pole the angle of elevation of the top of the pole is 068 if /PQ/ is

  35. trigonometry

    Solution of problem:from the top of a building 55 ft high, the angle of elevation of the top of a vertical pole is 12 degrees, At the bottom of the building, the angle of elevation of the top of the pole is 24 degrees. find the height of the pole.

  36. math

    from a particular point the angle of elevation of the top of a church spire is 35 degrees. walking 30 metres closer to the church the angle of elevation of the top of the spire increases by 20 degrees. a. how far from the church was the second elevation

  37. Math again sorry

    A roller coaster starts from a deck at an elevation of 20 feet above the ground. On the first hill it climbs 78 feet and then drops 85 feet. On the second hill the coaster climbs 103 feet and then drops 110 feet. How far below or above the deck is the

  38. physics

    2.A hiker used a compass to orient himself as he walked 3.00 km in a direction 50.0° north of west, and then an additional 2.00 km in a direction 20.0° south of west. The trip took 1.25 hours. Calculate the magnitude and direction of the hiker’s

  39. 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

  40. Physics

    A hiker throws a rock with a mass of 1.4kg from a cliff that is 37 m above the ground . The hiker gives the rock an initial downward velocity of 8.5 m/s. a) What is the energy of the rock at the moment the hiker releases it? b) What is the velocity of the

  41. math

    from a particular point the angle of elevation of the top of a church spire is 35 degrees. walking 30 metres closer to the church the angle of elevation of the top of the spire increases by 20 degrees. a. how far from the church was the second elevation

  42. Trigonometry

    From the top of a building 85ft high, the angle of elevation of the top of a vertical pole is 11 degree 6'. At the bottom of the building the angle of elevation of the top of the pole is 26 degree 7'. Find the height of the pole and the distance of the

  43. geometry

    An ant looks to the top of a bulding at an angle of elevation of 32°. The ant then walks an additional 66 feet from the edge of the building. If the new angle of elevation from the ant to the top of the building is 22°, find the height of the building.

  44. Math

    A railway company is building a new railroad. Surveyors wish to measure the height of a hill and the length of a tunnel to be cut through the base of the hill. At the East end of the tunnel, the surveyors measure the angle of elevation of the top of the

  45. math

    angle of elevation of the top of a mountain to a man is 45degree.if we walk along a slope of 30 degree of the mountain 100 meters then the angle of elevation of the top of mountain becomes 60 degree.find the height of the mountain.

  46. physics

    A 64 kg hiker climbs to the top of a 3700 m-high mountain. The climb is made in 5.5 h starting at an elevation of 2900 m. Calculate the average power output in watts. Calculate the average power output in horsepower & Calculate assuming the body is 14%

  47. Math

    A hiker is standing at a location with an elevation of 77 feet. If he climbs up 37 feet, find his new position relative to sea level. 77ft +37ft = 114ft Do I need to convert 114ft into Meters ?? I don’t really understand the question..please help me.

  48. Math Functions

    Please help me.. A mountain climber begins a hike at an elevation of 6000 feet. She then climbs such that her elevation increases by 1000 feet per hour. Let x = the amount of time that the climber has been hiking, in hours. Let E(x) = the elevation of the

  49. physics

    A monkey standing on the ground wants to climb to the top of a vertical pole 13m tall.he climbs 5m to 1seconds and slips downward 3m in the next 1seconds..he again climbs 5m in 1sec ANd slips by 3m in the next second and so on..draw the x-t graph of his

  50. Science

    A hiker climbs a hill 300m high and weighs 50kg. Calculate the power if she takes 1 hour to climb the hill

  51. Physics

    The Alert Hiker: An alert hiker sees a boulder fall from the top of a distant cliff and notes that it takes 1.3s for the boulder to fall the last third of the way to the ground. a.What is the height of the cliff in meters? b.If in part (a) you get two

  52. physics

    A 500kg roller coaster starts from rest at points 35m above the ground level. The car drives down into a valley 4m above the ground and then climbs the top of a hill that is 24m above the ground level. What is the velocity of the car in the valley and at

  53. Physics

    The speed of an automobile of mass 1600 kg increases uniformly from 20 m/s to 30 m/s. What is the increase in its kinetic potential? Given: m = 1600 kg V = 10 m/s KE = 1/2 m v^2 KE = 1/2 (1600)(10)^2 KE = 80,000 J Is this right?

  54. Physics

    A hiker throws a ball at an angle of 21.0 degrees above the horizontal from a hill 21.0 m high. The hiker's height is 1.750 m. The magnitudes of the horizontal and vertical components of the velocity are 14.004 m/s and 5.376 m/s, respectively. Find the

  55. Algebra

    Two hikers are 22 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other.

  56. maths

    The angle of elevation of the top of a tree from a point P on a horizontal ground is 30°.From another point Q 8 metres from the base of the tree,the angle of elevation of the angle of elevation of the top of the tree is 48°. a)Calculate to one decimal

  57. math

    From a point on the grornd 500m from the base of a building an observer find that the angle of elevation tothe top of building is 24degree and the angle of elevation to the top of a flagpole on top of the building is 27degree. Find the height of the

  58. math

    from a particular point the angle of elevation of the top of a church spire is 35 degrees. walking 30 metres closer to the church the angle of elevation of the top of the spire increases by 20 degrees. a. how far from the church was the second elevation

  59. math

    from a particular point the angle of elevation of the top of a church spire is 35 degrees. walking 30 metres closer to the church the angle of elevation of the top of the spire increases by 20 degrees. a. how far from the church was the second elevation

  60. math

    from a particular point the angle of elevation of the top of a church spire is 35 degrees. walking 30 metres closer to the church the angle of elevation of the top of the spire increases by 20 degrees. a. how far from the church was the second elevation

  61. math

    A point is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle elevation of the top of the bottom of the window is 300 and the angle elevation of the top of the widow is 350. Calculate the vertical

  62. math

    the bottom floor of a parking garage has an elevation of -36 feet. The top floor is 124 feet higher. What is the elevation of the top floor.

  63. maths

    the distance from you to the base of a tower on top of a hill is 2760 ft. the angle of elevation of the base is 26 degrees the angle of elevation of the top of the tower is 32 degrees.find the nearest foot the height of the tower above the top of the hill

  64. Trig

    A 60-foot flagpole stands on top of a building. From a point on the ground the angle of elevation to the top of the pole is 45 degrees and the angle of elevation to the bottom of the pole is 42 degrees. How high is the building?

  65. Physics

    A 67 kg hiker climbs to the top of a 3700 m-high mountain. The climb is made in 5.5 h starting at an elevation of 2800 m. Calculate assuming the body is 16% efficient, what rate of energy input was required.

  66. Math

    larry starts at the bottom of a long staircase. he climbs exactly 2/3 of the stairs. then he goes back down exactly 1/2 of the way to the bottom. from that spot he climbs exactly 2/3 of the way to the top. finally from there he climbs 6 stairs to reach the

  67. Physics

    A car of mass 1100 kg starts from rest at sea level and climbs a hill of altitude 50 m. At the top of the hill the car has a speed of 25 m/s. From the top of the hill the driver turns off the engine and coasts down to an altitude of 15 m. Assume the

  68. Physics

    A car of mass 1100 kg starts from rest at sea level and climbs a hill of altitude 50 m. At the top of the hill the car has a speed of 25 m/s. From the top of the hill the driver turns off the engine and coasts down to an altitude of 15 m. Assume the

  69. Physics

    A hiker walks 10.0 km [n], 6.8km [w], 2.4km [s] and finally 1.2km [w] in 2.5hrs. a) What is the hiker's displacement b) In what direction must the hiker set out, in order to return by the most direct route to the starting point? c)if the hiker walks at a

  70. Science (Physics)

    1.A hiker started to walk from her campsite heading east with a velocity of 5 m\s after 6 seconds, she attained a velocity of 7 m\s. What is the average velocity of the hiker? What is the hiker’s acceleration? If the hiker continues walking for another

  71. math

    The horizontal distance between the town of Sko (elevation 40 m) and a hut (elevation 943 m),a resting place for hikers, is 6.68 miles. If a hiker traveled in a straight line from Sko to the hut, the average include would be ___ percent.

  72. physics

    rollercoaste starts at 12m high with a v of 1.2m/s and climbs to 9.0m Assume the track is frictionless... a) how fast is it going when it reaches the low pointbetween the crestss. b)how fast is it going at the top of the secondcrest (9.0m) i have no idea

  73. AP Physics

    #2 A spy stands on the sidewalk by an apartment building examining a foreign embassy across the street. The spy then climbs 30 m to the top the building and then slides 40 m along a wire at a 20° angle below right to reach a window on the embassy. What is

  74. physics

    A hiker starts at his camp and moves the following distances while exploring his surroundings: 70.0m north, 2.75 x 10^2m east, 130m at an angle 30.0 degrees north of east, and 1.50 x 10^2m south. a.) find his resultant displacement from camp. (take east as

  75. Physical Science

    A hiker, of mass 80 kg walks up a mountain, 700 m above sea level, to spend the night at the top in the first overnight hut. The second day she walks to the second overnight hut, 400 m above sea level. The third day she returns to her starting point, 200 m

  76. Math

    a hiker travels 3 km due east then 2km on a bearing of 110° how far south is the hiker from the starting point

  77. math

    Search results for "a monky climbs 4 metres of a pole in 1 minute, but slips 2 metres in next minute.in how much time he will reach the top of a pole 15 metres long?assume that he starts from the bottom of the pole."

  78. math

    ⦁ A hiker travels 3 km due east then 2 km on a bearing of 110°. Solve to find: a) Calculate how far south the hiker is from the starting point Hint: construct a right angle triangle

  79. Math

    Driving down a mounain Jim finds that he has descended 1800FT in elevation by the time he is 3.25 mi horizontally away from the top of the mountain find the slope of his decent to the nearest hundreth. I am sorry that you did not get a response to your

  80. Physical Science

    A hiker, of mass 80 kg walks up a mountain, 700 m above sea level, to spend the night at the top in the first overnight hut. The second day she walks to the second overnight hut, 400 m above sea level. The third day she returns to her starting point, 200 m

  81. Math

    From the gym Carolyn find's the angle of elevation to the top of 12 joy classroom to be 30°.She walks 105 metres towards the classroom and find's that the angle of elevation to the top is 58°20minutes.Illustrate with a diagram and label the information

  82. math

    from a particular point the angle of elevation of the top of a church spire is 35 degrees. walking 30 metres closer to the church the angle of elevation of the top of the spire increases by 20 degrees. a. how far from the church was the second elevation

  83. math

    from a particular point the angle of elevation of the top of a church spire is 35 degrees. walking 30 metres closer to the church the angle of elevation of the top of the spire increases by 20 degrees. a. how far from the church was the second elevation

  84. Math

    A point is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle elevation of the top of the bottom of the window is 30° and the angle elevation of the top of the widow is 35°. Calculate the vertical

  85. Math

    The angle of elevation of of the top of a house from the botton of a tower 160metres high is 26 degree.from the top of top of the tower,the angle of elevation is 24 degree.what is the height of the house if the tower ane the house are 50 metres

  86. Physics

    A tourist hikes 3.4 km North to visit a landmark and then hikes an additional 1.2 km South to a lake. What is the hiker's total distance traveled and the hiker's displacement?

  87. maths

    Two hikers begin walking towards each other from an initial distance of 20 km apart. Hiker P averages 4 km/h while hiker Q averages 6 km/h. When and where do they meet?

  88. physics

    A hiker shouts toward a vertical cliff 660 m away. The echo is heard 4.00 s later. (a) What is the speed of sound of the hiker's voice in air? (b) The wavelength of the sound is 0.758 m. What is its frequency? (c) What is the period of the wave?

  89. math

    The feet of two building of height 30miter amd 70meter are on the same horizontal line with a hole on the ground.The smaller building being between the taller one and the hole is 200meter the angle of elevation of the top of the taller building from the

  90. Precalculus

    A pole sits on top of a tall building an observer on ground 17 m away from building finds the angle of elevation to the base of the pole to be 30 degrees and the angle of elevation to top of pole to be 45 degree. Find height of pole to nearest tenth. Draw

  91. math

    A snail climbs a wall that is 16 feet high. Each day the snail climbs 5 feet, but each night it slips back down 3 feet. How many days will it take for the snail to get to the top of the wall

  92. college algebra

    IF THIS WAS 1500 SQFT. WHAT WOULD IT LOOK LIKE.I have two small Yorkies that love to go outside and play, so being on a leash just doesn’t work for them. So I decided to get them a fence so they can play how they like too. I live in a townhouse, its 1600

  93. math

    the angles of elevation of the top of a house from the bottom of a tower 160m high is 26° from the top of a tower the angle of elevation is 24°. what is the height of the house if the tower and the house are 50m apart?

  94. physics

    indicate the direction and select the total displacement of A caterpillar tries to climb straight up a wall two meters high, but for every 2 cm up it climbs, it slides down 1 cm. Eventually, it reaches the top. When it reaches the top, it does not pull

  95. Math

    The point A is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle of elevation of the top of the bottom of the window is 300 and the angle of elevation of the top of the window is 350. Calculate the

  96. Calculus AB

    A hiker walks due east for 40 minutes, then changes course by going South 25 degrees West. After 20 minutes, he changes course again, this time at South 75 degrees East. He goes through this path for one hour after which he heads north reaching his final

  97. AP Physics

    I need someone to review the following questions for my summer assignment and tell me if my answers are right or wrong. Please do it carefully, and the problems I found to be the most trickiest were #2 and #5. (This is is AP physics) #1 In a pickup

  98. physics

    A lighthouse standing on the top of a cliff is observed from two open boats (boats are not decked over) A and B in a vertical plane through the light house. The angle of elevation of the top of the lighthouse viewed from B is 16 degrees and the angles of

  99. Math

    Colton stands on the middle rung of a ladder attached to a jungle gym. He climbs up 3 rungs then down 4. After looking for a moment he climbs up 5 more rungs and stops. After climbing up the final 3 rungs he reaches the top of the ladder. How many rungs

  100. maths

    a hiker walk due east at 4km per hour and a second hiker starting from the same point walks 55 degree north-east at the rate of 6km per hour. H ow far apart will they be after 2 hours

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