Home
Class 10
MATHS
A person on the lighhouse of height 100 ...

A person on the lighhouse of height 100 m above the sea level observes that the angle of depression of a ship sailing towards the light house changes from `30^(@)` to `45^(@)`. Calculate the distance travelled by the ship during the period of observation. ( Take `sqrt(3)~~1.73`)

Text Solution

Verified by Experts

The correct Answer is:
Therefore, the distance travelled `=73.2` m
Promotional Banner

Topper's Solved these Questions

  • MOST LIKELY QUESTION PAPER 9

    CPC CAMBRIDGE PUBLICATION|Exercise VI. Answer the following Questions :|1 Videos

  • MOST LIKELY QUESTION PAPER 9

    CPC CAMBRIDGE PUBLICATION|Exercise IV. Answer the following Questions :|6 Videos

  • MODEL QUESTION PAPER 7

    CPC CAMBRIDGE PUBLICATION|Exercise QUESTIONS|37 Videos

  • MOST LIKELY QUESTION PAPER 10

    CPC CAMBRIDGE PUBLICATION|Exercise QUESTIONS|36 Videos

Similar Questions

Explore conceptually related problems

As observed from the top of a lighthouse 100 m high abov e sea level, the an g les o f d ep ression o f a ship, sailing directly tow ards it, changes from 30^(@) to 60^(@) . Find the distance travelled by the ship during the period of observation.

An observer on the top of a cliff 200 m above the sea level, observes the angles of depression of two ships on opposite sides of the cliff to be 45^(@) and 30^(@) respectively. Then the distance between the ships if the line joining the points to the base of the cliff

A man from the top of a 100 metres high lower sees a car towards the tower at an angle of degression of 30^(@). After some time, the angle of depression becomes 60^(@). The distance metres travelled by the car during this time

As observed from the top of a 100 m high light house from the sea level the angle of depression of two ships are 30^(@) and 45^(@) . If one of the ship is exactly behind the other on the same side of the light house, find the distance between the two ships (sqrt(3) ~~1.73) .

As observed from the top of a 100 m high light house from the sea level the angle of depression of two ships are 30^(@) and 45^(@) . If one of the ship is exactly behind the other on the same side of the light house, find the distance between the two ships. (sqrt(3)=1.73) .

From the top of a tower 100 m high, a man observes two cars on the opposite sides of the tower with angle of depression 30^(@) and 45^(@) respectively. Find the distance between the cars

A tower and a pole stand vertically on the same level ground. it is observed that the angles of depression of top and foot of the pole from the top of the tower of height 60m is 30^@ and 60^@ respectively. find the height of the pole.

From the top of a light house, angles of depression of two ships are 45^(@) and 60^(@) . The ships are on opposite sides of the ight house and in line with its foot. If the distance between the ships is 400 m, find the height of the light house.

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.