How far is the star away from the earth in AU?
.000302°
1AU

Question

04-02-2022
Mathematics

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How far is the star away from the earth in AU?
.000302°
1AU

Sagot :

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Sqdancefanidn Sqdancefanidn · Answer 1 · 2022-02-07T16:06:54-05:00

Sqdancefanidn Sqdancefanidn

07-02-2022

Answer:

379,442 AU

Step-by-step explanation:

The angle bisector is the altitude of the triangle. The resulting right triangle has a distance of 1 AU opposite the 0.000151° angle. The length we're interested in is the hypotenuse of the triangle. The relevant trig relation is ...

Sin = Opposite/Hypotenuse

Hypotenuse = Opposite/Sin

E-S distance = (1 AU)/sin(0.000151°) ≈ 379,442 AU

The star is about 379,442 AU from Earth.

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