Two locomotives on opposite banks of canal pull a vessel moving parallel to the banks by means of two horizontal ropes the tension in this ropes are 800 kN and 1600 kN while the angle between then is 65°. Find the resultant pull on the vessel and the angle between each of the ropes.

Q: Two observers are standing on shore 2 mile apart at points F and G and measure the angle to a…

A: Given, The distance between point F and point G = 1/2 mile

Q: Two ships leave a port at the same time. The first ship sails on a bearing of 52° at 17 knots…

A:

Q: You are facing a building that is 150 feet higher than your transit, and you must elevate your…

A:

Q: A string of a kite is 180 meters long and it makes an angle of 75° with horizontal. Find the height…

A: use trignometric ratio

Q: A 20-foot ladder is leaning against a wall. The base of the ladder is 3 feet from the wall. What…

A:

Q: A rope is attached to the bottom of a hot-air balloon that is floating above a flat field. If the…

A: Given: The angle of elevation of the balloon is 65°, and the rate of pulling of rope is 5 ft /s.…

Q: Two observers are standing on shore 2 mile apart at points F and G and measure the angle to a…

A:

Q: A nail needs to be removed from a piece of wood by a force applied at a 40-degree angle as shown. If…

A: The force on the diagram is shown in the sketch below,

Q: Find the force required to keep a 3,000 pound car parked on a hill that makes an angle of 15 degrees…

A: Consider the figure below

Q: A man pushes a lawn mower with a force of 30 lb exerted at an angle of 30 degreeto the ground. Find…

A: Given        Force F=30 lb      Angle θ=30 degree

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A: Given: width(w)=8  millimeterlength(l)=16  millimeter

Q: A woman standing on a cliff is watching a motor boat as the boat approaches the shoreline directly…

A:

Q: A man and a woman standing 3.8 miles apart spot a hot air balloon in the sky between them at the…

A: Let, B=balloon M=man W=woman D=perpendicular base of the balloon   We have to find BD.

Q: A force of 18 lb is required to hold a 71​-lb crate on a hill. What angle does the hill make with…

A: Let a body of mass is m and it is placed on the hill. And the hill makes an angle with the…

Q: Two friends are on opposite sides of a river. To find the width of the river, each of them hammered…

A: Given, Two stakes at  A  and  C.  ∠ABC = 20°  and  BC = 190 ft We have to find the width of the…

Q: A rock is thrown downward from the top of a building, 168 ft high, at an angle of 60 ◦ with the…

A: Use the displacement formula, x=v0(cos θ)t and substitute v0 with 80 and θ with 60° to get x=40t.…

Q: A Russian bomber plane is sighting on a target on the ground directly ahead. If the bomber is flying…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A 30-foot steel girder is leaning against a wall. The foot of the girder is 20 feet from the wall.…

A: Let AB be the ladder and BC be the wall. Let θ be the angle grider make with ground. Note that,…

Q: An airplane took off from an airport and traveled at a constant rate and angle of elevation. When…

A: What was the angle when the airplane rose from the ground?

Q: Two cyclists leave from the same location with an angle of 63° between their paths. Johal travels…

A:

Q: A passenger on a plane saw an island below him. If the altitude of the plane 2500 meters above the…

A: A passenger on a plane saw an island below him.The altitude of the plane 2500 meters above the…

Q: A man lies 18 horizontal feet from the base of a wall. He must incline his eyes at an angle of 21…

A: It is given that,  A man lies 18 horizontal feet from the base of a wall. He must incline his eyes…

Q: A 12-foot ladder leans against a building. The top of theladder leans against the wall 10.5 feet…

A: Consider a right triangle with an angle, x, other than right angle. Take the length of side opposite…

Q: find the angle formed by the two cables.

A: Given lengths - a = 120 feetb = 204 feetc = 235 feetLet the angle between the two cables be θ.Then…

Q: If a wheel of radius 8 inches is rotating 12°/s then its angular speed, w, and linear speed, v , are

A:

Q: A 100-foot vertical tower is to be erected on the side of a hill that makes a 6° angle with the…

A:

Q: a bird is sitting in the top of a tree that is 21 feet tall looking down at a worm on the ground…

A:

Q: A force of 80 pounds on a rope is used to pull a box up a ramp inclined at 10° from the horizontal.…

A: θ is the angle between the force and the direction of motion. Here Ramp 10°, rope 33°, with…

Q: Two poles 6m high support a clothesline which is 8m long. The other one fell on the ground and…

A:

Q: Two prospectors are pulling on ropes attached around the neck of donkey that does not want to move.…

A: To find the used force of donkey to stay put.

Q: A 14 foot ladder leans against a building. The angle between the ground and the ladder is 30…

A: A 14 feet ladder leans against a building. Angle between ground and ladder is 30°

Q: against

A:

Q: Two pulleys of a diameter 9 meters and 3 meters are connected by a belt. The larger pulley rotates…

A: Given, The diameters of two pulleys are 9 meters and 3 meters.

Q: A string of a kite is 100 meters long and it makes an angle of 60° with horizontal. Find the height…

A:

Q: 4. A ladder 20 ft long leans against a sloping embankment, its foot being secured 10 ft from the…

A:

Q: A telephone pole of height "h" is installed vertically on the side of a hill that makes an angle of…

A:

Q: Two horizontal wires are attached to a point P of a vertical post, and forces of magnitudes 8 N and…

A:

Q: Jack and Jill were on the same side of a hill but were 34 m apart. Both were lying on the ground…

A: Let the height of the peak of the hill be h . Let the distance BL be x . Use the tangent ratio in…

Q: An airplane is heading north at an airspeed of 800 km/hr, but there is a wind blowing from the…

A:

Q: Two planes just recently left the airport. Looking at the radar, Plane 1 is 145 miles away from the…

A:

Q: Two planes leave an airport at the same time. Their speeds are 110 miles per hour and 160 miles per…

A:

Q: A plane is 3 miles above the ground, 15 miles from its destination. What is the angle of elevation…

A: Use height and distance concept Use sin theta

Q: If Superman exerts 1000 pounds of force to prevent a 5000-lb boulder from rolling down hill and…

A: Given:If Superman exerts 1000 pounds of force to prevent a 5000-lb boulder from rolling down hill…

Q: 4. Suppose a tow truck drags a broken car along a road. The towing cable makes an angle of 30° with…

A: suppose a tow truck drags car along a road the towing cable makes an angle 30° with the road and the…

Q: A ladder placed against a walll such that it reaches the top of the wall of height 6m and the ladder…

A: Given: A ladder is placed against a wall such that it reaches the top of the wall of height 6m and…

Q: A hot air balloon flies directly above a straight 5 mile road that connected two towns. The pilot…

A: For the given angle 35 and 31 degree and 5 miles road  height of the balloon from  the ground is…

Q: Sally has measured the end-points of two poles, and wants to know the angle between them: Use the…

A: Given, a= 10,3,9 and b=3,8,12 To find : Angleθ between two vectors a→ and b→

Q: A ball is thrown with an initial velocity of 70 km per second, at an angle of 35° with the…

A:

Q: A force of 13 lb is required to hold a 29-lb crate on a hill. What angle does the hill make with the…

A: To calculate the angle which is make with the horizontal if the force acting on an object is 13 lb…

Q: A cell phone tower Is anchored by two cables on each slde for support. The cables stretch from the…

A: We can draw the following image: Let say the cable is distanced by 2x feet.