Home
Class 10
MATHS
Two ships are sailing in the sea on eith...

Two ships are sailing in the sea on either side of the lighthouse. The angles of depression of two ships as observed from the top of the lighthouse are `60^(@)and45^(@)` respectively. If the distance between the ships is `200((sqrt(3+1))/(sqrt(3)))` metres, find the height of the lighthouse.

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO THINKING CORNER|10 Videos

  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO PROGRESS CHECK|13 Videos

  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.5|15 Videos

  • STATISTICS AND PROBABILITY

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS|23 Videos

Similar Questions

Explore conceptually related problems

From the top of a light house, 80 meters high, two ship on the same side of light house are observed. The angles of depresion of the ships as seen from the light house are found to be of 45^(@) and 30^(@). Find the distance between the two ships. (Assume that the two ships and the bottom of the lighthouse are in line )

Two men on either side of a temple of 30 meter height observe its top at the angles of elevation 30^(@) and 60^(@) respectively. Find the distance between the two men.

The angles of elevation and depression of the top and bottom of a lamp post from the top of a 66m high apartment are 60^(@) and 30^(@) respectively, find The distance between the lamp post and the apartment (sqrt(3)=1.773) .

An aeroplane at an altitude of 1800m finds that two boats are selling towards it in the same direction. The angles of depressionn of the boats as obversed from the aeroplane are 60^(@) and 30^(@) respectively. Find the distance between the two boats. (sqrt(3)=1.732) .