Home
Class 10
MATHS
A window in a building is at a height of...

A window in a building is at a height of 10 m from the ground. The angle of depression of a point P on the ground from the window is `30^(@)`. The angle of elevation of the top of the building from the point P is `60^(@)`. Find the height of the building.

Text Solution

Verified by Experts

The correct Answer is:
30 m
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS ( SHORT ANSWER TYPE-2 QUESTIONS )|6 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (LONG ANSWER TYPE QUESTIONS )|7 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS )|3 Videos

  • REAL NUMBERS

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS(LONG ANSWER TYPE QUESTIONS )|5 Videos

  • STATISTICS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS IIT FOUNDATION|5 Videos

Similar Questions

Explore conceptually related problems

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 50 m high, find the height of the building.

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 50 m high, find the height of the building.

Knowledge Check

  • If the angle of elevation of the top of a tower from a distance of 100m from its foot is 60^(@) , the height of the tower is

    A
    `100sqrt(3) m`
    B
    `(100)/sqrt(3)` m
    C
    `50sqrt(3) m`
    D
    `(200)/sqrt(3)` m

    • Similar Questions

    Explore conceptually related problems

    The angle of elevationof 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 50m high, find the height of the building.

    A statue, 1.6 m 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 pedestral is 45^(@) . Find the height of the pedestral.

    A statue, 1.6 m 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 samme point the angle of elevation of the top of the pedestal is 45^(@) . Find the height of the pedestal.

    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 45^(@) . Find the height of the pedestal.

    The angle of depression of the top of a tower at a point 70mts from the base is 45^(circ) , Then the height of the tower is

    From the of a vertical building of 50sqrt3 m height on a level ground the angle of depression of an object on the same ground is observed to be 60^@ . Find the distance of the object from the foot of the building.

    From a point 50 m above the ground, the angle of elevation of a cloud is 30^(@) and the angle of depression of its reflection is 60^(@) . Find the height of the cloud above the ground.

    Home
    Profile