Home
Class 10
MATHS
A round balloon of radius r subtends an ...

A round balloon of radius r subtends an angle a at the eye of the observer while the angle of elevation of its centre is p. Prove that the height of the centre of the balloon B is r sin `beta` cosec `(alpha)/(2)`.

Text Solution

Verified by Experts

The correct Answer is:
`(alpha)/(2)`
Promotional Banner

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (VALUE BASED QUESTIONS )|2 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

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

A chord of a circle of radius 10cm subtends a right angle at the centre. Find the area of the corresponding. (a) minor segment (b) major segment

If a, b, and c, are the sides of a right-angled triangle where C is the hypotenuse, prove that the radius r of the circle which touches the sides of the triangle is given by r=(a+b-c)/(2) units.

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.

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.

The angle of elevation of a cloud from a point h metres above the surface of a lake is alpha and the angle of depression of its reflection in the lake is beta then the height is :

Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle at the centre. Then the locus of the centroid of triangle PAB as P moves on the circle is: