The sun's angular diameter is measured to be 1920''. The distance D of the sun from the earth is 1.496 *10power -11m. What is the diameter of the sun ? will you pzzz explain me the answer .

 

Given D = 1.496×10­11 m

Θ = 1920“=(1920/60×60) o = 0.53o

As angle Θ is very small the triangle is approximately a right triangle

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1.  Answer Sun’s angular diameter

  α = 1920"

  =1920× (4.85 × 10^-6) rad

  = 9.31× 10^-3

  Sun’s diameter

d = α D

= 9.31× 10^-3 × 1.496 × 10^11

= 1.39× 10^9 m

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