To make sure you got a reasonable number, identify your crater on the map of the

Question

To make sure you got a reasonable number, identify your crater on the map of the Moon(using, e.g. http://www.lunasociety.org/atlas/ and compare it with the tabulateddata for craters (e.g. http://en.wikipedia.org/wiki/Lunar_craters and other onlinesources). If you’re able to locate the crater include its name in your report.

Let's now calculate the height of a feature on the Moon! If a crater rim or mountain is in sunlight, it casts a shadow. We use the length of the shadow to tell us the height of the feature. We use the fact that "similar triangles" (two triangles that have the same angles as each other) have sides that are ratios of each other. We can then solve the problem using proportions! sunlight S = shadow length D - distance from terminator The ratio of the sides of the big triangle is D/R of top of feature (where D is the distance from the terminator to the feature, as seen from Earth), but it's also APPROXIMATELY equal to h/S, the height of the feature divided by the shadow length as seen from above. So that makes the calculation especially simple, The mountain on the moon casts a shadow First, you need to figure out how many cm of your page (use the picture on page 4) corresponds to how many kilometers on the Moon. We do this first by measuring r, the measured RADIUS of the moon (the horizontal segment between the center small circle and the right edge) How many cm is it on the page? If we know that the radius of the Moon R is really 1734 km, then we can calculate the scale factor f = (km/cm) 1734 km /r. What do you get for the scale factor? Now, we measure carefully the lengths on the lunar image (page 4). What do you measure as the distance of a feature from the terminator d But now we need to use the scale factor f to get the REAL distance D f * d And so we can get the REAL shadow length S = f * s = Only one thing more to do! Calculate the true height of the mountain H = S * D / R What do you get? That height is in kilometers, or a thousand meters. Remember that 1 meter is about 3.3 feet, how many teet tall is that mountain? Is that high for a mountain on Earth? What is the tallest mountain you know on Earth? and its shadow height s

Explanation / Answer

answer- the Crater name seems to be in Sinus meddi/ Sinus aestuum sector and the crater name is Crater Manilus. Crater is nearly circular in shape or appearence. This crater lies in the equator of the moon. at 0 latitude and 0 longtitude.

i have made this picture on paper. It take 8cm of my paper to complete.

radius of moon is = 1734km

now the scale factor= 1734km/4cm= 433.5 Km/cm

distance from the tereminator to the top of the feature is D= 2.5km shadow height s = 0.5km

now real distance D = f*d = 433.5* 2.5 = 1083.75km

shadow length S = f* s = 433.5*0.5 = 216.75 km

SO the true height of mountain H = S*D/R = 216.75 *1083.75/1734 = 135.46 km

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