a tower stands on the top of a cliff. at a distance of 55m from the foot of the cliff, the angles of elevation of the top of the tower as well the cliff are 60° and 45° respectively. find

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  1. Physics

    A grasshopper leaps into the air from the edge of a cliff at a 50 degree angle. He reaches a maximum height 6.74 cm above the top of the cliff and travels a total horizontal distance of 1.06 m. How tall is the cliff and what is the initial speed of the

  2. physics

    Cliff divers at Acapulco jump into the sea from a cliff 37.1 m high. At the level of the sea, a rock sticks out a horizontal distance of13.39 m. The acceleration of gravity is 9.8 m/s^2. With what minimum horizontal velocity must the cliff divers leave

  3. MAth Igcse

    The angle of elevation of the top of a tower is 27 degrees from point A due east of it. The angle of elevation of the top of the tower is 11 degrees from another point B due south of the tower. Find the height of the tower if the distance AB is 40m.

  4. Trigonometry

    A 30foot flagstaff is fixed in the center of a circular tower 40 feet in diameter. From a point in the same horizontal plane as the foot of the tower the angles of elevation of the top of the flagstaff and the top of the tower are found to be 36 and 30

  5. 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

  6. 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

  7. Math

    The leaning tower of Pisa is 55.9 m tall and leans 5.5 degrees from the vertical. If its shadow is 90 m long, what is the distance from the top of the tower to the top of the edge of its shadow, assuming the ground around the tower is level?

  8. Trig

    The Leaning Tower of Pisa is 55m tall. The tope edge of the tower is 5m out from the bottom edge. What is the angle created between the ground and the tower? Round your answer to the nearest degree. tan -1 (55/5) = 85 degrees but my Brother says I did it

  9. Algebra

    A wire is stretched from the ground to the top of an antenna tower. The wire is 15 feet long. The height of the tower is 3 feet greater than the distance d from the tower's base to the end of the wire. Find the distance d and the height of the tower.

  10. Physics

    A stone is projected horizontally from the top a tower with a speed of 5m/s.It lands on the ground level at a horizontal distance of 20m from the foot of the tower.Calculate the height of the tower.(g=10m/s2)

  11. Geometry/Math

    Judy lies on the ground 45 feet from her tent. Both the top of the tent and the top of a tall cliff are in her line of sight Her tent is 10 feet tall. About how is the cliff? Assume the two triangles are similar. Postscript: The distance from the tent to

  12. MAth Igcse

    The angle of elevation of the top of a tower is 27 degrees from point A due east of it. The angle of elevation of the top of the tower is 11 degrees from another point B due south of the tower. Find the height of the tower if the distance AB is 40m.

  13. Physics

    A 58.7-kg lead ball is dropped from the Leaning Tower of Pisa. The tower is 55.0 m high. A) How far does the ball fall in the first 3.08 seconds of flight? = 46.5 m B) What is the speed of the ball after it has traveled 2.10 m downward? = 6.42 m/s C) What

  14. calculus 1

    A rock is dropped off the edge of a cliff its distance S (in feet) from the top of the cliff after T seconds is S(T) = 16t^2. Assumme the distance from the top of the water below is 96ft. When will the rock strike the water? T=16t^2 -96 96=16t^2 80=t^2 4

  15. Math

    a tower stands on the top of a cliff. at a distance of 55m from the foot of the cliff, the angles of elevation of the top of the tower as well the cliff are 60° and 45° respectively. find the height of the tower.

  16. Algebra

    At a point 16 yards from the base of a tower,the distance to the top of the tower is 4 ysrds more than the height of the tower.Find the height of the tower.

  17. Mathematics

    from a horizontal distance of 1.05km a plot observe that the angles of depression of the top and base of a control tower are 36 and 41 respectively. calculate the shortest distance between the pilot and the base of the control tower and calculate the

  18. Math

    From an aeroplane in the air and at a horizontal distance of 1050m, the angles of depression of the top and base of a control tower at an instance are 〖36〗degrees and 〖41〗degrees respectively. Calculate, correct to the nearest metre, the Height of

  19. mathematics

    a man 1.83m tall, stands at a distance of 14.8m away from the base of a tower. He discovers that the angle of elevation of the top of tower is 63. Calculate the height of the tower.

  20. Math

    a man 1.83m tall, stands al a distance of 14.8m away from the base of a tower. he discovers that the angle of elevation of the top of the tower is 63 calculate the height of the tower.

  21. math

    from the top of a cliff 50 m high the angle of depression of the top and bottom of tower are observed to be 30 and 45 degree resp. find h of tower ?

  22. Math Word Problem

    A cross section of a nuclear cooling tower is a hyperbola with equation x^2/90^2-y^2/130^2=1. The tower is 450ft tall and the distance from the top of the tower to the center of the hyperbola is half the distance from the base of the tower to the center of

  23. Physics

    A grasshopper leaps into the air from the edge of a cliff at a 47 degree angle. He reaches a maximum height 6.49 cm above the top of the cliff and travels a total horizontal distance of 1.02 m. How tall is the cliff and what is the initial speed of the

  24. math trigonometry

    two office towers are 31 m apart. From the top of the shorter tower, the angle of elevation to the top of the tall tower is 25 degrees . The angle of depression to the base of the taller tower is 31 degrees. Calculate the height of each tower

  25. physics

    a stone projected horizontally from the top of a tower with a speed of 4m/s lands on the level ground at a horizontal distance 25m from the foot of the tower. calculate the height[g=10m/s2]. is it u squared divided by 2g

  26. Math

    From the top of a Cliff 90metre high, the angle of depression of a boat on the sea is 26.2 degree.calculate how far the boat is from the from the foot of the cliff and from the top of the cliff

  27. math

    A wire is stretched from the ground to the top of an antenna tower. The wire is 20 feet long. The height of the tower is 4 feet greater than the distance from the tower's base to the end of the wire. Find the height of the tower. 20 ft.= w x.4 = height of

  28. physics

    3)A soldier throws a grenade horizontally from the top of a cliff. Which of the following curves best describes the path taken by the grenade? Parabola 4)A stone is thrown horizontally from the top of a 25.00-m cliff. The stone lands at a distance of 40.00

  29. maths

    1a).A tower and a building stand on the same horizontal level. From the point P at the bottom of the building, the angle of elevation of the top T,of the tower is 65°. From the top Q of the building, the angle of elevation of the point T is 25°. If the

  30. trig

    On an inclined road, which makes an angle of 25 degrees with the horizontal plane, stands a vertical tower. At a point Q, 150 ft from the base of the tower down the road, the angle of elevation to the top of the tower is 65. How high is the tower?

  31. Math

    The Leaning tower of pisa is 55.9m tall and leans 5.5 degrees from the vertical. If its shadow is 90.0m long, what is the distance from the top of the tower to the top of the edge of it’s shadow? Assume that the ground is level.

  32. trig

    a tower standing on level ground is due north of piont N and due west of point W, a distance 1,500 feet from N. If the angles of elevation of the top of the tower as measured from N and W are 8 and 11, respectively, find the height of the tower.

  33. Physics

    Cliff divers at Acapulco jump into the sea from a cliff 36.4 m high. At the level of the sea, a rock sticks out a horizontal distance of 13.16 m. The acceleration of gravity is 9.8 m/s 2 . With what minimum horizontal velocity must the cliff divers leave

  34. Physics

    The captain sinks a ship located x distance away with a cannon located on the top of a cliff that is 65m high. if the cannon ball has a velocity of 55m/s and the captain sinks the ship, how far was the ship from the base of the cliff. I got 731.5 meters.

  35. Algebra Polynomial Equations

    A wire is stretched from the gound to the top of an antenna tower. The wire is 25 feet long. The height of the tower is 5ft greater than the distance d from the tower's base to the end of the wire. Find the distance and the height of the tower.

  36. Maths

    A surveyor stands 200m from the base of a tower on which an Ariel stands. He measures the angle of elevation to the top and bottom of the Ariel as 58 degree and 56 degree. Find the height of the Ariel.

  37. Physics

    A daring 510-N swimmer dives off a cliff with a running horizontal leap. What must her minimum speed be just as she leaves the top of the cliff so that she will miss the ledge at the bottom, which is 1.75 m wide and 9.00 m below the top of the cliff?

  38. trigonometry

    The angles of elevation of the top of a tower as observed from the bottom and top of a building of height 6th are 60° and 45° respectively.The distance of the base of the tower from the base of the building?

  39. trigo

    to calculate the height of the tower david measured the angle of elevation of the top of the tower from point A to B 42degrees. He moved then 30meter closer to the tower and from the point B the angle of elevation to the top of the tower to be 50degree.

  40. physics

    1) The angle of elevation to the bottom of a transmission tower on a hill from an observer standing 1.8 km away from the base of the hill is 5 degrees. The angle of elevation to the top of the tower from the tower is 6.8 degrees. If the distance from the

  41. trig

    The angle of depression of the top and bottom of a tower as seen from the top of a 100m high cliff are 30degree and 60degree respectively. find the height of the tower

  42. math

    A radio tower stands on the top of a hill that is 85 feet high. From the bottom of the hill, the elevation angle to the base of the tower is 42 degrees and the elevation angle to the top of the tower is 60 degrees. How tall is the tower? I would like to

  43. Math

    A tower stands on a 20 degree slope. From a point 45 m directly up the slope. The angle of elevation of the top of the tower is 10 degrees. How tall is the tower?

  44. trigonometry

    a flagpole 25 feet high stands on the top of a tower, which is 105 feet high. at what distance from the base of the tower will the flagpole subtend an angle of 3 degrees, 20 minutes?

  45. Right angle trigonometry

    A sailor sights both the bottom and top of a lighthouse that is 20 and m high and which stands on the edge of a cliff. The two angles of elevation are 3 and 42. To the nearest meter, how far is the boat from the cliff?

  46. Math trig

    Two towers 50 meters apart from the top of the shorter tower to the top of the taller tower 43 degree elevation, depression from the top of shorter tower to the bottom of the taller tower is 36 degrees what is the height of each tower?

  47. Elevation and depression

    From the top of a tower 60m high, two ships are seen in a direction due south. The angle of depression of the ships from the top of the tower are 45degre and 30degree. Find the distance between the ships

  48. plane and trigonometry

    a 30 foot flagstaff is fixed in the center of a circular tower 40 feet in diameter. from a point in the same horizontal plane as the foot of the tower the angles of elevation of the top of the flagstaff and the top of the tower is 30 degree repectively.

  49. Calculus

    The CN Tower is 553 m tall. A person is south of the tower, in a boat on Lake Ontario at a position that makes an angle of elevation of 100 degrees to the top of the tower. A second person is sitting on a park bench, on a bearing of 060 degrees relative to

  50. physics

    A daring 510 { N} swimmer dives off a cliff with a running horizontal leap, as shown in the figure below. What must her minimum speed be just as she leaves the top of the cliff so that she will miss the ledge at the bottom, which is 1.75 {m} wide and 9.00

  51. maths

    A straight highway leads to the foot of a tower of height 50m. From the top of the tower, the angles of depression of two cars standing on the highway are 30 degree and 60 degree. What is the distance between the two cars and how far is each car from the

  52. Physics

    A stone is thrown vertically upward from the top of the tower with a velocity of 15m / s. Two seconds later a second stone is dropped from the top of the tower.if both the stone strike the ground simultaneously find the height of the tower

  53. Physics 124

    A projectile is fired from the top of a cliff at 14.2 m/s at an angle of 36.9 degrees below the horizontal, and strikes water at the same level as the base of the cliff 3.51 seconds later. (Assume g=10.0 m/s2.) How high was the top of the cliff above the

  54. trigo

    how do i do this question? a tower stands on top of a cliff. at a distance of 55m from the foot of the cliff, the angles of elevation of the top of the tower as well as the cliff are 60degrees and 45degrees respectively. what is the height of the tower?

  55. trig

    A person stands at a distance from the tower and eyes the top of the tower at 30 degree angle of elevation. He then walks 425 feet towards the tower and eyes the top of the tower at a 58 degree angle of elevation. The person is 5 feet tall. How tall is the

  56. 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

  57. Math

    1) A television tower is 160 feet high and an observer is 120 feet from the base of the tower. Find, to the nearest degree, the angle of elevation of the top of the tower from the point of observation. 2) A vertical pole 22 meters tall casts a shadow 16

  58. TRIG Help help help test tommarow

    A TV tower stands on top of the Empire State building. From a point (on the ground) 1150 feet from the base of the building, the angle of elevation to the top of the TV tower is 52 degrees. If the building is 1250 feet tall, what is the length of the TV

  59. Math

    If an observer stands at a certain point in the same horizontal plane as the base of a radio tower. the angle of elevation of the top of the tower is 13deg 15'. If the observer moves 156.25 feet towards the tower, the angle of elevation is 18deg 10'. Find

  60. trigo

    A television tower stands on the top of the building from point 83.7 feet from the base of the building the angles of elevator to the top and the base of the tower are 63.20 minutes and 38.51 minutes respectively. How tall is the tower?

  61. physics

    A ball is projected with initial velocity 50m\s at an angle of elevation of 37°from the top of a cliff 55m high. calculate the total time the ball is in the air and the maximum horizontal distance covered...please I have solved this question but didn't

  62. Algebra Polynomial Equations

    A wire is stretched from the gound to the top of an antenna tower. The wire is 15 feet long. The height of the tower is 3ft greater than the distance d from the tower's base to the end of the wire. Find the distance and the height of the tower.

  63. MATH!!!!

    The CN Tower is 553m high. A person in a boat on Lake Ontario, at a point B due south of the tower, observes the top (T) of the tower at an angle of elevation of 8 degrees. At the same time, another person, at a point C on a bearing {S 85 degrees E } from

  64. calculus 1

    A rock is dropped off the edge of the cliff and its distance S ( in feet ) from the top of the cliff after T seconds is S ( T ) = 16t^2. Assume the distance from the top ofthe cliff to the water below is 96ft Make a table of the average velocity and

  65. math

    the angle of depression of a ship from a top of a tower is 46deree. a. If a ship is 126m from the foot of the tower, calculate the height of the tower. b. If the height of the tower is 72m tall, calculate the distance between the (i) ship and the foot of

  66. Physics

    An astronaut has crash landed on a planet that little is known about (not even the acceleration due to gravity). She must descend a steeo cliff to find shelter, but wants to know how high the cliff is before making the attempts. She happens to have

  67. formal geomerty

    A person in a small boat sights the top of a 40-foot lighthouse found on a cliff. The angle of elevation to the top of the lighthouse is 50.2 degrees. If the distance from the base of the cliff to the boat is 75 feet,what is the height of the cliff?

  68. Math!

    From the top of a 40m fire tower, a fire ranger observes smoke in tower locations. One has a an angle of depression of 10o, and the other has an angle of depression of 7o. Calculate the distance between the smoke sightings when they are a.) on opposite

  69. physics

    Mr. McGregor stands on top of a 15 m high cliff. He fires his rifle horizontally. The bullet speed is 321 m/s. How far from the cliff did the bullet travel?

  70. math

    a tower 7 metres high stands on top of building which is 9 metres high. An observer at the bottom of the building notices that, as she walks away from the building, the angle theta which the tower subtends at her eyes seems to increase in size for a

  71. Math

    The angle of elevation on the top of a radio tower is 7.5° from the ground at a distance of 1.5 miles from the base of the tower find the height of the tower. My answer : 2.71 miles

  72. Maths

    Two persons are on opposite sides of a tower. They measure that the angle of elevation of the top of the tower are 30°and 45°respectively. If the height of the tower is 50metres, find the distance between the two persons.

  73. maths

    A tower 7 metres high stands on top of building which is 9 metres high. An observer at the bottom of the building notices that, as she walks away from the building, the angle theta which the tower subtends at her eyes seems to increase in size for a

  74. Math (Calculus)

    Tower 1 is 60 ft high and tower 2 is 20 ft high. The towers are 140 ft apart. A guy wire is to run from point A to the top of each tower. [See a picture of this situation on page 274 of the textbook.] How many feet from tower 1 should point A be so that

  75. algebra

    At a point on the ground 30 feet from the base of a tower, the distance to the top of the tower is 2 feet more than twice the height of the tower. Find the height of the tower.

  76. Math

    from a lockout tower 25 meters high, a man observes from a position 1.70 meters below the top of the tower that the angle of elevation of the top of a nearby building is 12 degrees 40 minutes and the angle of depression of its base is 70 degrees 20

  77. Physics

    A cannon ball is fired horizontally with velocity of 15m from the top of a cliff 90m high.after how many seconds will it hit the foot of the cliff(a)time (b)at what distance from the foot of the cliff will it strike.

  78. math help

    What is the distance Y Z in metres between the boat and the bouy, to 2 significant figures? A surveyor, standing at an observation point on a cliff top of a height 300m above sea level, can see a boat and a bouy out at sea, both directly in front of him.

  79. trigonometry

    A lighthouse BC of unknown height stands on the edge of a cliff AB. From a point O, 2500 ft from the base of the cliff, an observer measures the angles of elevation of the top and bottom of the lighthouse and finds them to be 15°40' and 12°13'. How high

  80. 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

  81. Physics

    A grasshopper leaps into the air from the edge of a cliff at a 50 degree angle. He reaches a maximum height 6.74 cm above the top of the cliff and travels a total horizontal distance of 1.06 m. 1) How tall is the cliff? 2) What is the initial speed of the

  82. math

    Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who is standing 20 meters from Jack as shown in the diagram, determines that the angle of elevation to the top of the tower is

  83. College Physics

    A students stands at the top of a high vertical cliff and throws calculators into the sea. He throws the calculators horizontally with a speed of 7.4 m/s and observes that each reaches the water below 3.7 s after the release. Neglect air resistance and

  84. math

    Two boys are on opposite sides of a tower.They sight the top of the tower at 33 degree's and 24 degree angles of elevation respectively.If the height of the tower is 100 m, find the distance between the two boys.

  85. math

    two office towers are 31 m apart. From the top of the shorter tower, the angle of elevation to the top of the tall tower is 25 degrees . The angle of depression to the base of the taller tower is 31 degrees. Calculate the height of each tower

  86. MATH

    A wire is stretched from the ground to the top of an antenna tower. The wire is 20 feet long. The height of the tower is 4 feet greater than the distance from the tower's base to the end of the wire.Find the height of the tower. 20^2=H^2 + (H-4)^2 solve

  87. trigometry

    man on 12m tower, he observed two houses. the angle of depression to one of them was 6' and the other is 3'. how far apart the houses are. Calculate the distance between the house if: a)the houses are on the same side of the tower b)the houses are on

  88. Any Math Tutor Online? Help

    man on 12m tower, he observed two houses. the angle of depression to one of them was 6' and the other is 3'. how far apart the houses are. Calculate the distance between the house if: a)the houses are on the same side of the tower b)the houses are on

  89. math plz help

    man on 12m tower, he observed two houses. the angle of depression to one of them was 6' and the other is 3'. how far apart the houses are. Calculate the distance between the house if: a)the houses are on the same side of the tower b)the houses are on

  90. projectives

    A cannon ball is fired horizontally with a velocity of 50m/s from the top of a cliff of 90mh. after how many seconds will it strike the plane at the foot of the cliff and at what distance at the foot of the cliff will it strike?

  91. physics

    Cliff divers at Acapulco jump into the sea from a cliff 30.1 m high. At the level of the sea, a rock sticks out a horizontal distance of 9.19 m. The acceleration of gravity is 9.8 m/s With what minimum horizontal velocity must the cliff divers leave the

  92. math

    In the given diagram,AB represents a vertical pole and CD represents a 40 m high tower both of which are standing on the same horizontal plane.From the top of the tower,the angles of depression of the top and the foot of the pole are 24 degrees,30 inches

  93. math n2

    AB is a vertical cliff. C is a point 380m from the cliff. the angle of elevation to the top of the cliff is 58 degrees. calculate the height of the cliff

  94. maths

    A straight highway leads to the foot of a tower of height 50m. From the top of the tower, the angles of depression of two cars standing on the highway are 30 degree and 60 degree. What is the distance between the two cars and how far is each car from the

  95. trig

    Two office towers are 43m apart. From the top of the shorter tower, the angle of elevation to the top of the taller tower is 26o while the angle of depression to the base is 51o. Determine the height of each tower and round your answers to one decimal

  96. Science/Physics

    Which Is A True StateMent? When comparing the force that is required to climb a mountain by walking up a trail that slopes gently upward to the top, versus getting there by scaling asheer vertical cliff face, """"I believe it would be D"""" a. You use more

  97. math

    Fiona is repairing the wiring on a radio broadcast tower. She is in the basket of the repair truck 40m from the tower. if she looks up at an angle of 42° she can see the top of the tower. She can see the base if she looks down at an angle of 32°. How

  98. Physics

    Hey, I'm studying for my physics class, and I'm not sure how to solve this problem. Can someone walk me through it please? I'd really appreciate any help! John throws a baseball from the edge of a cliff with an initial velocity of 17.0 m/s at an angle

  99. math

    the leaning tower of pisa is 55.9m tall and leans 5.5 deg from the vertical. if its shadow is 90.0m long, what is the distance from the top pf the tower to the edge of the shadow? assume that the ground is level. please help in details

  100. math

    A chemical distillation tower, 110 m high is supported by cables of length L that reach from the top of the column to the ground at a distance D from the base of the tower. If D is 1/3 the length of a cable, find L and D.

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