Angular diameter of sun is 17" when measured from north pole and south pole of earth. Calculate distance of sun from earth if diameter of earth is 12800km.

This is nonsense. Do you mean parallax?

http://en.wikipedia.org/wiki/Parallax#Stellar_parallax

If this question was generated by your instructor, or your text, I recommend dropping the course immediately, as it will be a waste of your time.

no kindly help me in solving it..i need the ans..

To calculate the distance of the sun from Earth, we can use the concept of angular diameter and the known diameter of the Earth.

The angular diameter is the angle subtended by an object at a given distance. In this case, the angular diameter of the sun is given as 17 arcseconds (17").

To calculate the distance of the sun, we need to convert the angular diameter from arcseconds to radians.

1 arcsecond (1") = (π/180) * (1/3600) radians
17" = (π/180) * (1/3600) * θ radians
θ = 17" * ((180/π) * (3600/1)) radians

Next, we can calculate the distance using the formula:

distance = (diameter of Earth / 2) / tan(θ / 2)

Given that the diameter of Earth is 12,800 km, we need to convert it to meters:

diameter of Earth = 12,800 km * 1000 m/km = 12,800,000 m

Plugging in the values:

θ = 17" * ((180/π) * (3600/1)) radians
θ ≈ 4.8481 * 10^(-6) radians

distance = (12,800,000 / 2) / tan(4.8481 * 10^(-6) / 2)
distance ≈ 149,709,678 km

Therefore, the distance of the sun from Earth is approximately 149,709,678 km.