Calculating the Angle Between the Sun's Diameter and Earth: Radians and Degrees

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SUMMARY

The discussion focuses on calculating the angle between the edges of the Sun's diameter as viewed from Earth, given the Sun's diameter of 1.39x10^9 m and its distance from Earth at 1.5x10^11 m. The solution must avoid using sine, cosine, or triangles, leading to the application of the small angle approximation. This method allows for a straightforward calculation of the angle in both radians and degrees, emphasizing the significance of the small angle in the context of astronomical observations.

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The diameter of the sun is 1.39x10^9 m, and it is 1.5x10^11 m from the earth. When viewed from Earth what is the angle from one side of the sun to the other? Give answer is Radians and Degrees.


My problem is the qusetion also states do NOT use sine, cosine, or triangles to solve this.


My attempt was to think in spheres from one to the other drawing lines to connect the two, but then that results in a triangle.

HINT: the ANGLE is very small

TIA
 
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