(Solved): Figure \( 1.2 \) shows the Sun with a "prominence," a large loop of gas moving along a magnetic fie ...

Figure \( 1.2 \) shows the Sun with a "prominence," a large loop of gas moving along a magnetic field line. (We'll discuss prominences and other solar phenomena in Lab 5.) Suppose that we want to know how tall the prominence is. How would we do that? Since we don't have a map scale provided to us, we'll have to make one using what we know about the size of the Sun. Questions 22-24 will walk you through this procedure. 22. Measure the diameter of the Sun in Figure \( 2.1 \) with your ruler in centimeters. (Hint: the image itself is as wide as the Sun, so just measure the width of the whole image.) (1 point) replace this text 23. Now, let's turn your measured value into a map scale. Astronomers know that the diameter of the Sun is \( 1.4 \times 10^{6} \mathrm{~km} \) in real life. a) This means that our map scale is ( 2 points): (your answer to question 22) \( \mathrm{cm}=1.4 \times 10^{6} \mathrm{~km} \) b) Reduce this scale: how many kilometers are represented by \( 1 \mathrm{~cm} \) ? ( 2 points) \( 1 \mathrm{~cm}= \) replace this text \( \mathrm{km} \) 24. Now that you have a map scale, we can figure out how tall the prominence is. a) Measure the height of the prominence (the distance between the Sun's surface and the top of the prominence) in \( \mathrm{cm} \). (2 points) replace this text cm b) Using the map scale you found in the previous question, convert your answer to part a) into a real-life height. (Remember to include units!) (4 points) replace this text km In astronomy, we use images of celestial objects in a similar manner, taking objects of known size to find the size of things that haven't yet been measured. We'll use Figure \( 1.2 \) below as an example. The image shows the sun, of known size, displaying a loop-like prominence of gas (of unknown size) on its edge. Figure 1.2: The Sun with a large prominence (image credit: SOHO, NASA).