Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

A round balloon of radius r subtends an angle at the eye of the observer while the angle of elevation of its centre is . Prove that the height of the centre of the balloon is  .
Asked by Topperlearning User | 02 Dec, 2013, 01:34: AM
answered-by-expert Expert Answer

k

Let O be the centre of the balloon of radius r and P the eye of the observer. Let PA and PB be tangents from P to the balloon. .

Therefore,

Let OL be perpendicular from O to the horizontal.

In ∆OAP,

sin =

OP= r cosec…(i)

In ∆OPL,

sinф =

OL=OP sinф

OL = r sinф cosec (from (i))

Thus, the height of the centre of the balloon is r sinф cosec.

Answered by | 02 Dec, 2013, 03:34: AM
CBSE 10 - Maths
Asked by arindeep.singh | 02 Oct, 2020, 12:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by arindeep.singh | 02 Oct, 2020, 12:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×