Math, asked by anmol82kaur, 1 year ago

A spherical balloon of radius r subtends an angle theta at the eye of an observer. If the angle of elevation of its centre is fye,find the height of the centre of the balloon.

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Answered by TR0YE
1
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➧ Let the height of centre of the balloon above the ground be h m.

➧ Since the balloon subtends an angle θ at the observes eye,

➾ ∴ ∠EAD = θ

➧ In ∆ ACE and ∆ ACD,

➾ AE = AD
♦ (lengths of tangents drawn from an external point to the circle are equal)

➾ AC = AC    (common)

➾ ∠CEA = ∠CDA = 90°
♦ (Radius is perpendicular to tangent at point of contact)

∴ ∆ ACE ≅ ∆ ACD

➾ ∠EAC = ∠DAC ----- (C.P.C.T)

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