b) Determining Distance from Angular Size and Diameter If you know how big an object really is (its diameter), and how big an angle it makes across the sky (its size), the distance to the object can be found from: (2) Small object's distance 57.3 x Object's diameter Angular Size (in degrees) Just like equation (1), the distance and diameter will be in the same units, like miles or light years. Ar angular size must be in

Applications and Investigations in Earth Science (9th Edition)
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Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
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b) Determining Distance from Angular Size and Diameter
If you know how big an object really is (its diameter), and how big an angle it makes across the sky (its angular
size), the distance to the object can be found from:
(2)
Small object's distance
57.3 x Object's diameter
Angular Size (in degrees)
Just like equation (1), the distance and diameter will be in the same units, like miles or light years. And the
angular size must be in degrees, not arc-minutes or arc-seconds.
Transcribed Image Text:b) Determining Distance from Angular Size and Diameter If you know how big an object really is (its diameter), and how big an angle it makes across the sky (its angular size), the distance to the object can be found from: (2) Small object's distance 57.3 x Object's diameter Angular Size (in degrees) Just like equation (1), the distance and diameter will be in the same units, like miles or light years. And the angular size must be in degrees, not arc-minutes or arc-seconds.
4. At its closest point to Earth, Jupiter appears in a telescope to be 45 arc-seconds in angular size. We
know Jupiter is about 88,000 miles in diameter. Use equation (2) to determine how far away Jupiter is
during this observation. Be sure to convert the angle to degrees before you use the equation!
telescope
Angle of 45
arc-seconds
Jupiter
(88,000 miles
in diameter)
How many significant digits will the answer include?
Answer:
Unit:
Transcribed Image Text:4. At its closest point to Earth, Jupiter appears in a telescope to be 45 arc-seconds in angular size. We know Jupiter is about 88,000 miles in diameter. Use equation (2) to determine how far away Jupiter is during this observation. Be sure to convert the angle to degrees before you use the equation! telescope Angle of 45 arc-seconds Jupiter (88,000 miles in diameter) How many significant digits will the answer include? Answer: Unit:
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