Home
Class 12
MATHS
Two ships A and B are sailing straight a...

Two ships A and B are sailing straight away from the foot of a tower OP along routes such that `ul(|AOB)` is always `120^(@)`. At a certain instance, the angles of depression of the ships A and B from the top P of the towers are `60^(@) and 30^(@)` respectively. The distance between the ships when the height of the tower is 15m is

A

`5 sqrt(39)` m

B

`5 sqrt(30)` m

C

`5 sqrt(21)` m

D

`5 sqrt(3)` m

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos
  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|15 Videos
  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|6 Videos
  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|8 Videos

Similar Questions

Explore conceptually related problems

From the top of a building, the angle of elevation and depression of top and bottom of a tower are 60^(@) and 30^(@) respectively. If the height of the building is 5m, then find the height of the tower.

From the top of a cliff 90 m high, the angles of depression of the top and bottom of a tower are observed to be 30^(@) and 60^(@) respectively. The height of the tower is :

The angle of depression of a ship from the top a tower of height 50 m is 30^(@) . Find the horizontal distance between the ship and tower.

The angles of depression of two ships from the top of a lighthouse are 45^@ and 30^@ . If the ships are 120 m apart, then find the height of the lighthouse.

A helicopter , at an altitude of 1500 metre ,finds that two ships are sailing towards it , in the same direction .The angles of depression of the ships as observed from the helicopter are 60^(@)and30^(@) respectively .Distance between the two ships ,in metre is

Two ships are sailing in the sea on the either side of the lighthouse.The angles of depression of two ships as observed from the top of the lighthouse are 60^(@) and 45^(@) ,respectively.If the distance between the ships is 100((sqrt(3)+1)/(sqrt(3)))m, then find the height of the lighthouse

Two points A and B are on the same side of a tower and in the same straight line with its base. The angles of depression of these points from the top of the tower are 60^(@)" and "45^(@) respectively. If the height of the tower is 15 m, then find the distance between these points.

The angles of depression of two points from the top of the tower are 30^(@) and 60^(@) . IF the height of the tower is 30 m, then find the maximum possible distance between the two points.