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Calculate the angular diameter ot the Moon with these known tacts: Moon's linear diameter 3480 km Moon's average distance from Earth 384,000 km number of arc seconds in 1 radian 2.06 x 10 A) 31 arc seconds B) 187 arc seconds C) 1750 arc seconds D) 1870 arc seconds

Respuesta :

Answer:

answer D. 1870 arc seconds

Explanation:

given data

Moon's diameter d = 3480 km

so radius r = 1740 km

Moon's distance from Earth R = 384,000 km

No of second in 1 radian = 2.06 ×[tex]10^{5}[/tex]

to find out

angular diameter of the Moon

solution

we know that angular radius is

angular radius = [tex]\frac{r}{R}[/tex]

angular radius = [tex]\frac{1740}{384000}[/tex]

angular radius = 0.0045 radius

so we can say radius for angular radius = 0.0045 radius

= 2.06 ×[tex]10^{5}[/tex] × 0.0045

= 927

so diameter is = 2 × 927 = 1854 arc s

so it is near about answer D. 1870 arc seconds

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