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Question 30
1 pts
What is the angular diameter to the nearest hundredth of a degree of a
spherical object with a diameter of 16 m at a distance of 1338 m?
O 0.09 degrees
6.28 degrees
O 0.21 degrees
O
1.24 degrees
O 0.69 degrees

Respuesta :

Answer: [tex]0.69\°[/tex]

Explanation:

The angular diameter [tex]\delta[/tex] of a spherical object is given by the following formula:

[tex]\delta=2 sin^{-1}(\frac{d}{2D})[/tex]

Where:

[tex]d=16 m[/tex] is the actual diameter

[tex]D=1338 m[/tex] is the distance to the spherical object

Hence:

[tex]\delta=2 sin^{-1}(\frac{16 m}{2(1338 m)})[/tex]

[tex]\delta=0.685\° \approx 0.69\°[/tex] This is the angular diameter

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