The parallax of heavenly body measured from 2 points diametrically opposite on earth's equator in 60 seconds. If the radius of the earth is 6.4*10 raised to 6 metres, determine the distance of the heavenly body from the earth
Answers
Answer:
The parallax of a heavenly body measured from two points diametrically opposite on equator of earth is 1.0 minute. If the radius of the earth is 6400 km,find the distance of the heavenly body from the center of earth in AU.
Explanation:
Hope this helps you and please mark me as the brainliest.
Answer:Given : Parallax angle = 2 minutes
We know that,
1 minute = 1 / 60 * π / 180 rad
=> 2 min = 2 / 60 * π / 180 rad
=> 2 min = π / 30 * 180 rad
=> 2 min = π / 5400 rad
=> 2 min = 5.82 × 10⁻⁴ rad
Therefore Parallax angle = 5.82 × 10⁻⁴ rad.
We know that,
Parallax angle = Distance between Two points / Distance of planet
5.82 × 10⁻⁴ = 6400 / Distance of planet from earth
6400 = 6.4 × 10³ km
=> Distance of planet from earth = 6.4 × 10³ / 5.82 × 10⁻⁴
=> Distance of planet from earth = 6.4 / 5.82 * 10³ ⁻ ⁽ ⁻ ⁴ ⁾ km
=> Distance of planet from earth = 1.09 × 10⁷ km ≈ 1.1 × 10⁷ km ( Approx )
Therefore Distance of planet from earth is 1.09 × 10⁷ km.
mark brainliest
Explanation: