Question

A pilot who is 60km above from sea level watches sun rise at 0546h .At what time observer in below the plane can watch the sun rise?

Answer 1

Answer on Question #81575, Physics / Astronomy | Astrophysics

Question:

A pilot who is $60\mathrm{km}$ above from sea level watches sun rise at 0546h. At what time observer in below the plane can watch the sun rise?

Solution:

$\cos \alpha = \frac{R}{R + l}$ , respectively $\alpha = \arccos \left(\frac{1}{1 + \frac{l}{R}}\right)$ , and as far as $R = 6371 \, \text{km}$ , then $\alpha = 7.8{}^\circ$ . In this case

$\tau = \frac{\alpha}{360} 24 \cdot 60 = 7.8 \cdot 4 = 31.2(\min)$ .

The answer:

Approximately at 06:17.

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