A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun m

Question

Lilit [14]

3 years ago

11

A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun m

easured to be 7.4°. See the figure. Use this information to approximate the radius and circumference of the planet.

Mathematics

2 answers:

icang [17] · Answer 1 · 2022-07-12T11:00:39+03:00

Answer:

radius: 1460 mi
circumference: 9174 mi

Step-by-step explanation:

If the angle of elevation at point B is 7.4°, then the sun is 90° -7.4° = 82.6° from the vertical. This is the measure of the central angle between the two points. That represents a fraction of a circle that is ...

82.6°/360° = 413/1800 ≈ 0.229444...(repeating)

The relation between the given distance and the circumference is ...

0.294444C = 2105 mi

C = 2105 mi/0.294444 ≈ 9174 mi

The radius of the spherical planet is this divided by 2π:

r = C/(2π) = 9174 mi/(2π) ≈ 1460 mi

The radius of the planet is about 1460 miles; the circumference is about 9174 miles.

siniylev [52] · Answer 2 · 2022-07-12T08:38:35+03:00

siniylev [52]3 years ago

5 0

Answer:

Sorry i needed the pointś im so sorry