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.

Good grief. Who gassigned you this question?

The angular diameter of the sun from anywhere on Earth is about 30 arc minutes, not 17 arc seconds.

What they are probably talking about is the parallax, which is the angular difference in the sun's position relative to background stars, when seen from different locations at the same time. If they don't know the difference between parallax and angyular size, they should not be teaching the course.

hey i need the ans..kindly help me out...

What good is the answer to a question that makes no sense? If you learn the difference between parallax and subtendend agle, you will have learned something useful

its ok..kindly teach me the difference between parallax and subtended angle...

i really need the solution of the above question...hope someone would help me..

To calculate the distance of the sun from the earth, we will use the concept of angular diameter.

The angular diameter of an object is the angle it subtends at an observer's position. In this case, the angular diameter of the sun is given as 17" (arcseconds).

To find the distance to the sun, we need to use the following formula:

Distance to the Sun = (Diameter of Earth / 2) / tan(angular diameter in radians)

First, we need to convert 17" into radians. Since there are 3600 arcseconds in 1 degree, and 60 arcminutes in 1 degree, we can calculate the angular diameter in radians as follows:

Angular diameter in radians = (17 / 60) / 60 * (π / 180)

Next, we substitute the values into the formula:

Distance to the Sun = (12800 km / 2) / tan(angular diameter in radians)

Calculating the angular diameter in radians:

Angular diameter in radians = (17 / 60) / 60 * (π / 180) = 4.817 × 10^(-6) radians

Now, we can calculate the distance to the Sun:

Distance to the Sun = (12800 km / 2) / tan(4.817 × 10^(-6) radians)

Using a scientific calculator or a programming language that supports trigonometric functions, we can find the tangent of the angular diameter in radians and then calculate the distance to the Sun.