Home
Class 12
MATHS
A balloon of radius r subtends an angle ...

A balloon of radius r subtends an angle` alpha` at the eyes of an observer and the center of balloon from the eye is `beta` . Find the height of the center of the balloon from the eye of observer .

Text Solution

AI Generated Solution

To find the height of the center of the balloon from the eye of the observer, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Geometry**: - Let the center of the balloon be point O. - Let the observer's eye be point A. - The radius of the balloon is given as \( r \). ...
Promotional Banner

Topper's Solved these Questions

  • HIGHT AND DISTANCE

    CENGAGE ENGLISH|Exercise Exercises|18 Videos
  • HIGHT AND DISTANCE

    CENGAGE ENGLISH|Exercise Archives|3 Videos
  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Exercises|22 Videos
  • HYPERBOLA

    CENGAGE ENGLISH|Exercise COMPREHENSION TYPE|2 Videos

Similar Questions

Explore conceptually related problems

A round balloon of radius r subtends an angle at the eye of the observer while the angle of elevation of its centre is betadot Prove that the height of the centre of the balloon is rsinbetacos e calpha/2dot

An observer, 1.5 m tall, is 20.5 m away from a tower 22 m high. Determine the angle of elevation of the top of the tower from the eye of the observer.

An observer 1.5 metres tall is 20.5 m away from a tower 22 metres high. Determine the angle of elevation of the top of the tower from the eye of the observer.

A balloon leaves the earth and rises at a uniform velocity. At the end of 2 min, an observer situated at 200m from the point the balloon was released, finds the regular elevation of the balloon to be 60^(@) . What is the speed in meters per second, to the nearest integer, of the balloon?

An arc of length 15 cm subtends an angle of 45^@ at the center of a circle. Find in terms of pi , the radius of the circle.

A person standing on the bank of a river observers that the angle subtends by a tree on the opposite bank is 60^(@) . When he retires 40 feet from the bank, he finds the angle to be 30^(@) . Find the height of the tree and the breadth of the river.

The moon's distance from the earth is 360000 km and its diameter subtends an angle of 31' at the eye of the observer. Find the diameter of the moon.

The moon's distance from the earth is 360000 km and its diameter subtends an angle of 42' at the eye of the observer. The diameter of the moon in kilometers is

Find the diameter of the sun in km supposing that it subtends an angle of 32 at the eye of an observer. Given that the distance of the sun is 91 x 106 km.

An observer 1.5 m tall is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45o .What is the height of the chimney?