Home
Class 12
MATHS
A man from the top of a 100 metres high ...

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

A

`100 sqrt3 m`

B

`(200sqrt3)/(3)`

C

`(100 sqrt3)/(3)`

D

`200 sqrt3m.`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATION|2 Videos

  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|1 Videos

  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos

  • HYPERBOLA

    MODERN PUBLICATION|Exercise Recent Competitive Questions|5 Videos

Similar Questions

Explore conceptually related problems

A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60^(@) . After some time, the angle of elevation reduces to 30^(@) (see figure below). find the distance travelled by the balloon during the interval.

A 1.2m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60^(@) . After some time, the angle of elevation reduces to 30^(@) ( see Figure ) . Find the distance travelled by the balloon during the interval.

From a tower 128 m high, the angle of depression of a car is 30°. Find the distance of the car from the tower

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

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.

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 )

A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30^(@) , which is approaching the foot of the tower with a uniform speed. Six seconds later , the angle of depression of the car is found to be 60^(@)'.Find the time taken to reach the foot of the tower from this point.

From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60^(@) and the angle of depression of its foot is 45^(@) .Determine the height of the tower.