Planet X has angular size of 70 arcsec and it's liner diameter is 170000 km, what is the distance to this Planet?D)570 million kilometersE)500 million KilometersF)540 million kilometers
Question
Planet X has angular size of 70 arcsec and it's liner diameter is 170000 km, what is the distance to this Planet?D)570 million kilometersE)500 million KilometersF)540 million kilometers
Solution
To solve this problem, we can use the formula for angular size:
Angular size = (diameter of the object / distance to the object) * (206,265)
Where the angular size is in arcseconds, the diameter of the object is in the same units as the distance to the object, and 206,265 is the number of arcseconds in a radian.
We can rearrange this formula to solve for the distance to the object:
Distance to the object = (diameter of the object / angular size) * 206,265
Substituting the given values:
Distance to the object = (170,000 km / 70 arcsec) * 206,265 = 500 million kilometers
So, the answer is E) 500 million Kilometers.
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