Home
Class 12
MATHS
An aeroplane flying at a height of 300 m...

An aeroplane flying at a height of 300 m above the ground passes vertically above another plane at an instant when the angles of elevation of two planes from the same point on the ground are `60^(@) and 45^(@),` respectively. What is the height of the lower plane from the ground?

A

`100sqrt(3)`

B

`100//sqrt(3)`

C

50

D

`150(sqrt(3)+1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    ML KHANNA|Exercise Problem Set (1) TRUE AND FALSE|11 Videos

  • HEIGHTS AND DISTANCES

    ML KHANNA|Exercise Problem Set (1) FILL IN THE BLANKS|21 Videos

  • FUNCTIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos

  • INEQUALITIES

    ML KHANNA|Exercise PROBLEM SET (1)(FILL IN THE BLANKS)|4 Videos

Similar Questions

Explore conceptually related problems

An aeroplane flying at a height 300 metre above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 60^(@) and 45^(@) respectively.Then the height of the lower plane from the ground in metres is

An aeroplane flying at a height of 3000 m passes vertically above another aeroplane at an instant when the angles of elevation of the two planes from some point on the ground are 60^(@) and 45^(@) respectively. Then the vertical distance between the two planes is

An aeroplane when flying at a height of 4000m from the ground passes vertically above another aeroplane at an instant when the angles of the elevation of the two planes from the same point on the ground are 60^(0)&&45^(0) respectively.Find the vertical distance between the aeroplanes at that instant.

An aeroplane when flying at a height of 4000m from the ground passes vertically above another aeroplane at an instant when the angles of the elevation of the two planes from the same point on the ground are 60o and 45o respectively.Find the vertical distance between the aeroplanes at that instant.

An aeroplane, when 3000 m high, passes vertically above anthoer aeroplane at an instant when the angles of elevation of the two planes from the same point on the ground are 45^(@)" and "60^(@) respectively. Find the vertical distance between the tow planes.

An aeroplane when 3500m high passes vertically above another aeroplane at an instant when the angles of elevation of the two aeroplanes from the same point on the ground are 45 and 30 respectively.Find the vertical distance 35. between the two aeroplanes.

An aeroplane when 3000 m high passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60^(@) and 45^(@) respectively. How many metres higher is the one than the other?

An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60^@ and 45^@ respectively. How many metres higher is the one from the other?

The lower window of a house is at a height of 2m above the ground and its upper window is 4m vertically above the tower window. At certain instant the angles of elevation of a balloon from these windows are observed to be 60^(@) and 30^(@) , respectively. Find the height of the balloon above the ground.