Using just the facts that the period of earth around the sun is 1 year. that the distance of 1 degree of latitude on earth is 100km . that the acceleration due to gravity on earth is 10m/s^2 and that the angular diameter of the sun from earth is 0.5 degrees, is there a way to calculate the earth-sun distance.
This question is prompted by a question I was given in class. the actual question ask you to find the density ratio between the sun and the earth and i've managed to calculate all the info need for the earth.
Now if I can just figure out how to calculate the earth-sun distance I can use that to calculate the mass by rearranging T and the volume by using trigonometry to find the radius of the sun and then plugging it in.
The thing is I have looked all over for some hints and It seems that all the methods ( the ones i could find anyway) use some third body like the moon in their calculations. I want to do with no additional info to what I mentioned.
Also do you think it's possible that I could just write that the distance is 1au which has accepted value ..... do you think that still counts as only using the accepted data( as in is it a basic enough value that i can just plug it in) or is there a better way to find it mathematically ?