Home
Class 14
MATHS
A radio transmitter antenna of height 10...

A radio transmitter antenna of height 100 m stands at the top of a tall building. At a point on the ground, the angle of elevation of bottom of the antenna is `45^@` and that of top of antenna is `60^@`. What is the height of the building ?

A

100 m

B

50 m

C

`50(sqrt(3)+1)m`

D

`50(sqrt(3)-1)m`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HEIGHT AND DISTANCE

    LUCENT PUBLICATION|Exercise EXERCISE-12B|14 Videos

  • HEIGHT AND DISTANCE

    LUCENT PUBLICATION|Exercise EXERCISE-12B|14 Videos

  • GRAPHICAL SOLUTION OF LINEAR EQUATION

    LUCENT PUBLICATION|Exercise EXERCISE-3B|8 Videos

  • INDICES AND SURDS

    LUCENT PUBLICATION|Exercise Exercise - 2B|14 Videos

Similar Questions

Explore conceptually related problems

A statue 1.6 m tall stands on the top of a pedestral . From a point on the ground, the angle of elevation of the top of the statue is 60^@ and from the same point the angle of elevation of the top of the pedestal is 45^@ . Find the height of the pedestal.

The angle of elevation of the top of a building from the foot of the tower is 30 and the angle of elevation of the top of the tower from the foot of the building is 60. If the tower is 60m high,find the height of the building.

Knowledge Check

  • A radio transmitter antenna of height 100 m stands at the top of a tall building. At a point on the ground, the angle of elevationof the bottom of the antenna is 45^(@) and that of the the top of the antenna is 60^(@) . What is the height of the building ?

    A
    100 m
    B
    50 m
    C
    `50 (sqrt(3) + 1) m `
    D
    ` 50 ( sqrt(3) - 1) m `

  • From a tower 18 m high the angle of elevation of the top of a tall building is 45^(@) and the angle of depression of the bottom of the same building is 60^(@) . What is the height of the building in metres?

    A
    `12 + 6 sqrt(3)`
    B
    `6(3+ sqrt(3))`
    C
    `18 + sqrt(2)`
    D
    `6 (3+ (sqrt(3))/(2))`

  • Looking from the top of a 20 m high building, the angle of elevation of the top of a tower is 60^(@) and the angle of depression of its bottom is 30^(@) . What is the height of the tower?

    A
    50m
    B
    60m
    C
    70m
    D
    80m

    • Similar Questions

    Explore conceptually related problems

    A statue,1.6m tall,stands on the top of a pedestal.From a point on the ground,the angle of elevation of the top of the statue is 60^(@) and from the same point the angle of elevation of the top of the pedestal is Find the height of the pedestal.

    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.

    The angle of elevation of the top of a building from the foot of tower is 30^(@) and the angle of elevation of the top of the tower from the foot of the building is 60^(@). It the tower is 30m high,then the height of the building is

    A statue 1.6m tall stands on the top of pedestal.From a point on the ground,the angle of elevation of the top of the statue is 60o and from the same point the angle of elevation of the top of the pedestal is 45o . Find the height of the pedestal.

    Looking from the top of a 20 m high building, the angle of elevation of the top of a tower is 60^(@) and the angle of depression of to its bottom is 30^(@). What is he height of the tower?

    Home
    Profile