(b) Write the rounded distance found in part (a) in light-years. Round to 1 decimal place. (Hint: Is the that light travels in 1 yr and is approximately 5.878 x 10“ mi.)

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For part b,only the bold part is what you need to pay attention to.

Es
To approximate the distance from the Earth to stars relatively close by, astronomers often use the method of parallax. Parallax is the apparent displacement of
an object caused by a change in the observer's point of view. As the Earth orbits the Sun, a nearby star will appear to move against the more distant
background stars. Astronomers measure a star's position at times exactly 6 months apart when the Earth is at opposite points in its orbit around the Sun. The
Sun, Earth, and star form the vertices of a right triangle with LPSE=90°. The length of side SE is the distance between the Earth and Sun, approximately
92,900,000 mi. The parallax angle (or simply parallax) is denoted by p.
Earth
Star
Example
Sun
P
Parallax angle
E
Earth
Background stars
Part: 0/2
Part 1 of 2
(a) Find the distance between the Earth and Ruchbah if the parallax angle is 0.033" (arcseconds). Round your answer to the nearest hundred billion miles.
mi .
The distance between the Earth and Ruchbah is approximately
x10
Transcribed Image Text:Es To approximate the distance from the Earth to stars relatively close by, astronomers often use the method of parallax. Parallax is the apparent displacement of an object caused by a change in the observer's point of view. As the Earth orbits the Sun, a nearby star will appear to move against the more distant background stars. Astronomers measure a star's position at times exactly 6 months apart when the Earth is at opposite points in its orbit around the Sun. The Sun, Earth, and star form the vertices of a right triangle with LPSE=90°. The length of side SE is the distance between the Earth and Sun, approximately 92,900,000 mi. The parallax angle (or simply parallax) is denoted by p. Earth Star Example Sun P Parallax angle E Earth Background stars Part: 0/2 Part 1 of 2 (a) Find the distance between the Earth and Ruchbah if the parallax angle is 0.033" (arcseconds). Round your answer to the nearest hundred billion miles. mi . The distance between the Earth and Ruchbah is approximately x10
Therefore, the distance between the Earth and Proxima
(b) Write the rounded distance found in part (a) in light-years. Round to 1 decimal place. (Hint: 1 light-year is the distance
that light travels in 1 yr and is approximately 5.878 x 10*" mi.)
The distance in part (a) is
(248 x 1013
1 light-year
-4.2 light-years
Transcribed Image Text:Therefore, the distance between the Earth and Proxima (b) Write the rounded distance found in part (a) in light-years. Round to 1 decimal place. (Hint: 1 light-year is the distance that light travels in 1 yr and is approximately 5.878 x 10*" mi.) The distance in part (a) is (248 x 1013 1 light-year -4.2 light-years
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