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A 1.2 m tall girl spots a balloon moving...

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.

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The correct Answer is:
`58sqrt(3)`m.
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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.

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 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.

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 elevation of an aeroplane from a point on the ground is 60^(@) . After a flight of 30 seconds the angle of elevation becomes 30^(@) . If the aeroplane is flying at a constant height of 3000 sqrt(3) m. Find the speed of the aeroplane.

An observer 1.7 m tall is 20sqrt(3) m away from a tower. The angle of elevation from the eye of the observer of the top of the tower is 30^(@) . Find the height of the tower

OSWAAL PUBLICATION-SOME APPLICATION OF TRIGONOMETRY-TEXTBOOK CORNER EXERCISE 12.1
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  6. A 1.5 m tall boy is standing at some distance from a 30 m tall buildin...

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  7. From a point on the ground, the angles of elevation of the bottom and ...

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  8. A statue, 1.6 m tall, stands on the top of a pedestal. From a point on...

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  9. The angle of elevation of the top of a building from the foot of the t...

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  10. Two poles of equal heights are standing opposite each other on either ...

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  11. A TV tower stands vertically on a bank of a canal. From a point on the...

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  12. From the top of a 7m high building, the angle of elevation of the top ...

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  13. As observed from the top of a 75 m high lighthouse from the sea-level,...

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  14. A 1.2 m tall girl spots a balloon moving with the wind in a horizontal...

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  15. A straight highway leads to the foot of a tower. A man standing at the...

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  16. The angle of elevation of the top of a tower from two points at a dist...

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