Home
Class 11
MATHS
Two ships leave a port at the same time....

Two ships leave a port at the same time. One goes 24 km per hour in the direction `N45^(@)E` and other travels `32km` per hour in the directions `S75^(@)E`. Find the distance between the ships at the end of 3 hours.

Text Solution

Verified by Experts

The correct Answer is:
`84.53km`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE : 3|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|122 Videos
  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 3.4|9 Videos
  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

Two trains leave a railway station at the same time. The first train travels towards west and the second train towards north. The first train travels 5 km/hr faster than the second train. If after two hours they are 50 km. apart, find the average speed of each train.

A ship is moving at a constant speed of 10 km//hr in the direction of the unit vector hat(i) . Initially. Its position vector, relative to a fixed origin is 10(-hat(i)+hat(j)) where hat(i) & hat(j) are perpendicular vectors of length 1 km. Find its position vector relative to the origin at time t hours later. A second ship is moving with constant speed u km//hr parallele to the vector hat(i)+2hat(j) and is initially at the origin (i) If u=10 sqrt(5) km//h . Find the minimum distance between the ships and the corresponding value of t (ii) Find the value of u for which the shipd are on a collision course and determine the value of t at which the collision would occur if no avoiding action were taken.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method: Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?

As observed from the top of a 75m high lighthouse from the sea-level, the angles of depression of two ships are 30^(@) and 45^(@) . If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships

Places A and B are 100 km apart from each other on a highway. A car starts from A and another from B at the same time. If they move in the same direction, they meet in 10 hours, but if they move towards each other they meet in 1 hour 40 minutes. Find the speeds of the cars.

Two trains start from the same place. A person travel in a train whose speed is 50 km/h and it go to south direction. Another person travel in another train whose speed is 60 km/h and it go to west direction. After two hours, find the rate of distance between them.

A rectangular farm house has a 1km difference between its sides. Two farmers simultaneously leave one of the vertex of the rectangle for a point at the opposite vertex. One farmer crosses the farmhouse along its diagonal and other walks along the edge. The speed of each farmer is 4km//hr . If one of them arrives half an hour earlier then the other then the size of farmhouse is .

A rocket is moving in a gravity free space with a constant acceleration of 2 m//s^(2) along + x direction (see figure). The length of a chamber inside the rocket is 4 m . A ball is thrown from the left end of the chamber in + x direction with a speed of 0.3 m//s relative to the rocket . At the same time , another ball is thrown in + x direction with a speed of 0.2 m//s drom its right end relative to the rocket . The time in seconds when the two balls hit each other is

Distance between two very long parallel wires is 0.2 m. Electric currents of 4 A in one wire and 6 A in the other wire are passing in the same direction. Find the position of a point on the perpendicular line joining the two wires at which the magnetic field intensity is zero.

An aeroplane leaves an airport and flies due west at a speed of 2100 km per hour. At the same time, another aeroplane leaves the same airport and flies due south at a speed of 2000 km per hour. How far apart will be the two planes after 1 hours?