# A bridge is to be built across a small lake from a gazebo to a dock. The bearing from the gazebo to the dock is S 41° W. From a tree x = 100 meters from the gazebo, the bearings

11,857 results
1. ## Calculus

A barge, whose deck is 10 ft below the level of a Dock, is being drawn in by means of a cable attached to the deck and passing through a ring on the dock. When the barge is 24ft away and. Approaching the Dock at 3/4 per second. How fast is the cable being

2. ## linear momentum

an 85kg fisherman jumps from a dock into a 135kg rowboat at rest on the west side of the dock, if the velocity of the fisherman is 4.3m/s to the west as he lives the dock, what is the final velocity of the fisherman and the boat?

John Roebling the designer of the Brooklyn Bridge, A.was a civil engineer who invented the twisted wire-rope cable ✗ B.also worked on the design of the George Washington Bridge ? C.took over the building of the bridge after his father died ✔

4. ## Math

A bridge is to be built across a small lake from a gazebo to a dock. The bearing from the gazebo to the dock is S 41° W. From a tree x = 100 meters from the gazebo, the bearings to the gazebo and the dock are S 74° E and S 28° E, respectively (see

5. ## Physics

A speedboat, starting from rest, moves along a straight line away from the dock. The boat has a constant acceleration of +3.00 m/s2. A siren on the dock is producing a 755 Hz tone. Assuming that the air temperature is 20.0oC, what is the frequency of the

6. ## Trig

A bridge is built in the shape of a parabolic arch. The bridge has a span of s= 160 feet and a maximum height of h= 25 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of 10, 30, and 50 feet from the

7. ## MATH

Sam built a ramp to a loading dock. The ramp has a vertical support 2 m from the base of the loading dock and 3m from the base of the ramp. If the vertical support is 1.2 m in height, what is the height of the loading dock? Can someone please show me how

8. ## Math

Two sailboats are traveling along the same path away from a dock, beginning from different locations at the same time. John's boat begins 20 miles from the dock and is 55 miles from the dock after 5 hours. The distance of Roberta's boat from the dock is

9. ## algebra

You live near a bridge that goes over a river. The underside of the bridge is an arch that can be modeled with the function y=-0.000475x^2+0.851x, where x and y are in feet. How high above the river is the bridge(the top of the arch)? How long is the

10. ## mathematics

Find the angle of depression of a boat from the bridge at a horizontal distance of 25 m from the bridge if the height of the bridge is 25 m

11. ## Trigonometry

From an observation tower that overlooks a small lake, the angles of depression of point A, on one side of the lake, and point B, on the opposite side of the lake are, 7degrees and 13degrees, respectively. The points and the tower are in the same vertical

12. ## Physics

Note: Take East as the positive direction. A(n) 86 kg ﬁsherman jumps from a dock into a 131 kg rowboat at rest on the West side of the dock. If the velocity of the ﬁsherman is 5.2 m/s to the West as he leaves the dock, what is the ﬁnal velocity of

13. ## Math-soh cah toa

A bridge is 140m long.From the ends of the bridge, the angles of depression of a point on the river under the bridge is 41° and 48°. How high is the bridge above the river to the nearest meter. ( I know the answer is 68m, I just need to know how to get

14. ## physics

A lifeguard who can swim at 1.2 m/s in still water wants to reach a dock positioned perpendicularly directly across a 550 m wide river. If the current in the river is 0.80 m/s, how long will it take the lifeguard to reach the dock? If instead she had

15. ## History8

Which of the following most affects the size of the Great Salt Lake? A.the salt in the lake B. the region’s climate C. human modifications of the lake D. the minerals in the soil under the lake

16. ## Math

The underside of a bridge has a shape of a parabolic arch. It has a maximum height of 30m and a width of 50m. Can a sailboat with a mast of 28m above the water pass under the bridge 8m from the middle of the bridge?

17. ## math

A barge whose deck is 5 metres below the level of a dock is being drawn in by means of a cable attached to the dock and passing through a ring on the dock. When the barge is 12 metres away and approaching the dock at 3 4 metre per minute, how fast is the

18. ## math

Surfact of A lake is 31 feet above the surface of B lake. B lake is half as deep as A Lake and the bottum of the B lake is 8 feet below the bottom of A Lake. how deep is each lake?

19. ## Physics

A stone is thrown upward from a bridge at a speed of 10 m/s. It narrowly misses the bridge on the way back down, and hits the water at 30m/s. what is the approximate height of the bridge?

20. ## econ.

2. A company is considering building a bridge across a river. The bridge would cost \$2 million to build and nothing to maintain. The following table shows the company¡¯s anticipated demand over the lifetime of the bridge: Price per crossing (\$) 8 7 6 5 4

21. ## Physics

A dog sits on the left end of a boat of length L that is initially adjacent to a dock to its right. The dog then runs toward the dock, but stops at the end of the boat. If the boat is H times heavier than the dog, how close does the dog get to the dock?

22. ## Physics

A forensic scientist (CSI) is trying to find a weapon thrown off a bridge into the lake. Assume it is thrown horizontally and it sinks straight down once it hits the water. The bridge height is 15 meters and a normal throwing speed is 23 m/s. How far from

23. ## science

Suppose that the 1.3 km span of the golden gate bridge had no expansion joints. Calculate how much longer the bridge would be if the temperature of the bridge increases by 35 degrees celsious

24. ## physics

A lifeguard who can swim at 1.2 m/s in still water wants to reach a dock positioned perpendicularly directly across a 550 m wide river. If the current in the river is 0.80 m/s, how long will it take the lifeguard to reach the dock? If instead she had

25. ## social studies

what are the five great lakes You can find that at the site below: http://worldatlas.com/webimage/countrys/namerica/greatlk.htm they are lake superior lake michagan lake huron lake eria lake ontario

26. ## calculus

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 9

27. ## algebra1

Melissa wants to figure out how many fish live in a small lake by her house .She ccatces 15 fish and tags the (safely).Shethen outs thoes fish back in the lake .Then next day ,she catches 28 fish .of those 28 fish, 3 of them have the tags on them.About how

28. ## science

if a scale of the solar system was built where 1mm equaled 1 mile, could the model be practically built in a city? yes or no I suppose the answer would be no because that is a really small diameter is 742 billion mm I just wanted to check with someone

29. ## SS/WGeogrophy

which lake does the equator pass through: Lake Victoria,Lake Malawi,or lake Chad?

30. ## Algebra

On a summer day in Cape Cod, the depth of the water at a dock was 4ft at low tide at 2:00 AM. At high tide 5 hours later, the heist of the water at the dock rose to 14 feet. Write a cosine function to model the height of the water at the dock x hours after

31. ## math / geometry

Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used. Submit your full detailed solution to the dropbox. If the gazebo is made of wood, then the vine is growing on

32. ## Math

Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used. Either the gazebo is made of wood or the vine is growing on the gazebo. The gazebo is not made of wood. The

33. ## rMath

This is a two part question, make sure you answer both parts: Flo Tilla is pedal boating on Lake Azui. She starts back toward the dock, which is 1000 yards away. She goes at a rate of 25 yards a minute toward the dock. How far is Flo from the dock after 5

34. ## Geometry

A buoy in a lake is 20 yards from Dock 1 and 20 yards from Dock 2. To the nearest tenth of a centimeter of a yard; how far apart are the two docks? Please check my answer. Thank you. id it 17.3 yards?? I'm lost

35. ## physics

An airplane wants to drop a load of fish inot a small lake in the mountains. The plane is flying at its min speed 40 m/s, and is 50 meters above the surface of the lake. a.) Where relative to the lake should the plane be when the fish are dropped so that

36. ## Physics

A hiker, who weighs 990 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 3550 N, and rests on two concrete supports, one at each end. He stops one-fifth of the way along the bridge. What is the

37. ## physics

A hiker, who weighs 1120 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 3775 N, and rests on two concrete supports, one at each end. He stops one-fifth of the way along the bridge. What is the

38. ## physics

A hiker, who weighs 915 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 4185 N, and rests on two concrete supports, one at each end. He stops one-fifth of the way along the bridge. What is the

39. ## physics

A hiker who weighs 889 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 3690 N, and rests on two concrete supports at each end. He stops one-fifth of the way along the bridge. What is the magnitude of

40. ## Physics

A hiker, who weighs 990 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 3550 N, and rests on two concrete supports, one at each end. He stops one-fifth of the way along the bridge. What is the

41. ## PHYSICS

A hiker, who weighs 976 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 4350 N, and rests on two concrete supports, one on each end. He stops 1/3 of the way along the bridge. What is the magnitude of

42. ## PHYSICS

A hiker, who weighs 977 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 4500 N, and rests on two concrete supports, one on each end. He stops 1/6 of the way along the bridge. What is the magnitude of

43. ## physics

A hiker, who weighs 811 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 3350 N, and rests on two concrete supports, one on each end. He stops 1/6 of the way along the bridge. What is the magnitude of

44. ## Physics

A person drops a small rock from a bridge. If it takes 1.70 seconds for the rock to reach the water below the bridge, how high was the bridge above the water? please explain.

45. ## Physics

A hiker who weighs 834N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 3520N, and rests on two concrete supports at each end. He stops one-fifth of the way along the bridge. What is the magnitude of the

46. ## Science

describe the diffrence between: a) A beam bridge and a suspension bridge; b)an arch bridge and a cantilever bridge; c)a truss bridge and a cantilever bridge; Thank you for using the Jiskha Homework Help Forum. This has been interesting and I think you will

47. ## physics

You're on a magic bridge floating 25 meters above a lake. You through a rock at an angle of sixty degrees. It takes 5.8 seconds for the rock to reach it's highest point. (a) With what speed did you throw the rock? (b) How far away from the bridge

48. ## algebra 2

Boiling Lake is a small lake on the island of Dominica. The water temperature of the lake is between 180*F and 197*F. Write a compound inequality for this temperature range. [Graph the inequality.]

49. ## Geometry Honors

Boat 1 and boat 2, traveling at constant speeds but not necessarily the same speed, depart at the same time from docks A and C, respectively, on the banks of a man-made circular lake. If they go straight to docks D and B, respectively, they will collide.

50. ## geometry

1)The Arthur Ravenel Jr. Bridge is the longest cable-stayed bridge in the United States. The bridge has a total length of 13200 feet. Each year, the Cooper River Bridge 5K Run is held in the Spring. If there are approximately 16404 feet in 5 kilometers,

51. ## english

Which of the following sentences has a helping verb? A. She had rested on the dock. B. He went home late. C. Her brother paddled the canoe. D. She swam across the lake.

52. ## english

20. Which of the following sentences has a helping verb? [A. She had rested on the dock.] B. She swam across the lake. C. He went home late. D. Her brother paddled the canoe.

53. ## Social Studies

Lake Michigan and Lake Huron have the same surface elevation of ___ feet 577? The ___ Channel connects Lake Huron Lake St Clair and Lake Erie South? Niagara Falls is between Lake Erie and Lake __ Ontario? Lake Ontario is connected to the St Lawrence Seaway

54. ## Math (Calculus) (Related Rates)

A boat pulls away from a dock at 2 m/s, but the operator has neglected to remove the tow rope used to pull the boat up to the dock. This rope runs thru a pulley which is attached to the dock at a point 1 m higher than the point at which the rope is

55. ## calculus

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 7

56. ## physics

an 84 kg fisherman jumps for a dock into a 122 kg rowboat at rest on the westside on the dock. if the velocity of the fishermen is 4.8 m/s to the west as he leaves the dock what is the final velocity of the fishermen and the boat?

57. ## physics

James Bond is trying to jump from a bridge and land on the first car of a moving train that is going to pass under the bridge. The train moves at 85 km/h and the vertical height between the bridge and the top of the carriage is 15 m. if Bond gets a running

58. ## Physics

James Bond is trying to jump from a bridge and land on the first car of a moving train that is going to pass under the bridge. The train moves at 85 km/h and the vertical height between the bridge and the top of the carriage is 15 m. if Bond gets a running

59. ## Calculus Practice Problems

A boat is pulled into a dock by a rope attached to the bow (front end) of the boat and passing through a pulley on the dock that is 4 m higher than the bow of the boat. If the rope is pulled in at a rate of 3 m/s, at what speed is the boat approaching the

60. ## calculus

I need help with this problem. I think I figured out how to set it up but I keep getting stuck in the middle. A boat is pulled into a dock by a rope attatched to the bow of the boat and passing through a pulley on the dock that is 1m higher than the bow of

61. ## calc 1

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 4

62. ## calculus

A boat is pulled into a dock by a string attached to the bow of the boat and passing through a pulley on the dock that is1ft higher than the bow of the boat. If the string is pulled at a rate of 3 ft/second, how fast is the boat approaching the dock when

63. ## algebra

You live under a bridge that goes over a river. the underneath side of the bridge is an arc that can be modeled with the function y=-0.000407x^2+0.658x.Where x and y are in feet. How high is the bridge? How long is the section of bridge above the arc?

64. ## algebra

You live under a bridge that goes over a river. the underneath side of the bridge is an arc that can be modeled with the function y=-0.000407x^2+0.658x.Where x and y are in feet. How high is the bridge? How long is the section of bridge above the arc?

65. ## history

who built the levee's for the okeechobee lake?

66. ## Physics

A child operating a radio-controlled model car on a dock accidentally steers it off the edge. The car's displacement 0.95 s after leaving the dock has a magnitude of 6.7 m. What is the car's speed at the instant it drives off the edge of the dock?

67. ## Phy 131

A child operating a radio-controlled model car on a dock accidentally steers it off the edge. The car's displacement 0.65 s after leaving the dock has a magnitude of 8.4 m. What is the car's speed at the instant it drives off the edge of the dock?

68. ## physics

A child operating a radio-controlled model car on a dock accidentally steers it off the edge. The car's displacement 1.0 s after leaving the dock has a magnitude of 12.8 m. What is the car's speed at the instant it drives off the edge of the dock?

69. ## physics

A child operating a radio-controlled model car on a dock accidentally steers it off the edge. The car's displacement 0.58 s after leaving the dock has a magnitude of 7.1 m. What is the car's speed at the instant it drives off the edge of the dock?

70. ## Writing

How can I end this? ____ The bridge I made a model of is the Sydney Harbor Bridge. The bridge is located at Sydney, Australia. The Sydney Harbor Bridge is the main way to cross the Sydney Harbor carrying rail, vehicular, and pedestrian traffic between

71. ## Calculus

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1m/s,how fast is the boat approaching the dock when it is 8 m

72. ## Calculus

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1.4 m/s, how fast is the boat approaching the dock when it is

73. ## calculus

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1.4 m/s, how fast is the boat approaching the dock when it is

74. ## Calculus

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 7

75. ## Calculus

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 8

76. ## Physical Science

Why would a biologist want to know the pH of a lake? What would be the expected pH value for a normal, healthy lake? What could be a possible outcome if the lake pH was too high or too low? What could cause a large change in a lake’s pH? Please help, I

77. ## Physical Science

Why would a biologist want to know the pH of a lake? What would be the expected pH value for a normal, healthy lake? What could be a possible outcome if the lake pH was too high or too low? What could cause a large change in a lake’s pH? Please help! I

78. ## Physics

A speed boat at rest begins to move in a straight line from a dock. The boat has a constant acceleration of +3.0 m/s squared. Attached to the dock is a siren that is producing a 755 Hz tone. If the air temperature is 20 degrees C, what is the frequency of

79. ## Geometry

The distance across a lake is 34 meters. What is the distance, h, between the boat ramp and the dock? Round your answer to the nearest meter and show your work.

80. ## algebra

The distance across a lake is 34 meters. What is the distance, h, between the boat ramp and the dock? Round your answer to the nearest meter and show your work.

81. ## geography

Will you please check my answers? 1. The largest lake in the world is located near the border of Asia and Europe. What is its name? Caspian Sea 2. What is the name of the country that shares the Iberian Peninsula with Spain? Portugal 3. Name the Great

82. ## Math (Calculus) (Related Rates)

A boat pulls away from a dock at 2 m/s, but the operator has neglected to remove the tow rope used to pull the boat up to the dock. This rope runs thru a pulley which is attached to the dock at a point 1 m higher than the point at which the rope is

83. ## math help

A piece of rectangular paper measures 8x by 12x. If a circle with a radius of 3x is cut out of the middle of the paper, what will be the area of the remaining piece of paper in terms of π? 3. A rectangular gazebo measuring 7x by 9x is built in the middle

84. ## chemistry

A small lake contains 0.0500 mi3 of water [H2O]. If the density of water is 1.000 g/mL, determine the volume (in gal) of water in the lake.

85. ## physics

An 88kg fisherman jumps from a dock into a 131kg rowboat at rest on the west side of the dock. If the velocity of the fisherman is 4.7m/s to the west as he leaves the dock, what is the final velocity of the fisherman and the boat. East is positive.

86. ## Physics

A student reading his physics book on a lake dock notices that the distance between two incoming wave crests is about 0.65 m, and he then measures the time of arrival between the crests to be 1.8 s. What is the approximate speed of the waves?

87. ## Physic

A student reading his physics book on a lake dock notices that the distance between two incoming wave crests is about 0.65 m, and he then measures the time of arrival between the crests to be 1.8 s. What is the approximate speed of the waves?

88. ## Geometry

boat dock is 9 ft above water level if a 41 ft rope is attached to the dock on one side and to the boat on the other side, what is the horizontal distance from the dock to the boat?

89. ## AP Physics

A bridge 30 m long crosses a chasm. If the bridge is inclined at angle of 20 degrees to the horizontal, what is the difference in height of the two ends of the bridge?

90. ## physics

a vertical dock gate is 5m wide and is hinged at 1m from the base of the dock. the dock has sea water with density of 1025 kg /m^3 to a depth of 7.5 on one side and fresh water to depth of 3m on the other side a) find the resultant horizontal force b)

91. ## physics!

The New River Gorge bridge in West Virginia is a steel arch bridge 518m in length. How much does the total length of the roadway decking change between temperature extremes of -20.0C and 35.0 C? The result indicates the size of the expansion joints that

92. ## economics

2. A company is considering building a bridge across a river. The bridge would cost \$2 million to build and nothing to maintain. The following table shows the company¡¯s anticipated demand over the lifetime of the bridge: Price per crossing (\$) 8 7 6 5 4

93. ## Math - trigonometry

A bridge is 70m long. From the ends of the bridge the angles of depression of a point on a river under the bridge are 41 degrees and 48 degrees. How high is the bridge above the river?

94. ## Math Velocity

Jeff is standing on a bridge 5M above the river, He picks up a small rock and tosses it into the air, the rock reaches a height of 12M in one second and hits the water in about 2.3 seconds Determine when the rock reaches a height equal to the bridge but on

95. ## environmental engineering

A lake receives 8 m3/s of inflow containing 0.3 mol/m3 of a chemical. The chemical reacts with a first order rate constant of 0.01 h-1. The outflow from the lake is also 8 m3/s. Assume there was no chemical in the lake at the beginning and volume of the

96. ## Physics ATTENTION HENRY!

A lifeguard who can swim at 1.2 m/s in still water wants to reach a dock positioned perpendicularly directly across a 550 m wide river. a) If the current in the river is 0.80 m/s, how long will it take the lifeguard to reach the dock? b) If instead she had

97. ## Physics

A lifeguard who can swim at 1.2 m/s in still water wants to reach a dock positioned perpendicularly directly across a 550 m wide river. 1. If the current in the river is 0.80 m/s, how long will it take the lifeguard to reach the dock? 2. If instead she had

98. ## Social Studies

Lake Huron is the northernmost Great Lake False? Lake Ontario is the closest Great lake to ottawa canada True?

99. ## gen physics

A 152 kg boat is at rest in a calm lake at the end of a dock. A 85.6 kg person running down the dock leaps into the boat with a horizontal velocity of 4.58 m/s. Ignore all effects of friction and resistance due to the water. a) Find the kinetic energy of

100. ## algebra

You live near a bridge that goes over a river. The underside of the bridge is an arch that can be modeled with the function y=-0.000475x^2+0.851x, where x and y are in feet. How high above the river is the bridge(the top of the arch)? How long is the