By Similar Triangles.
#1 is 15/12
#2 is x /20
Equating
15/12 = x/20
Algebraic rearrangement
x = 15 x 20 / 12
x = 300 /12
x = 25 m.
25 m
The first set would have most data points very close to 50 while in the second set they would be much further away.
The difference between the null hypothesis and the alternative hypothesis are on the sense of the tests. In statistical inference, the null hypothesis should be in a positive sense such in a sense, you are testing a hypothesis you are probably sure of. In other words, the null hypothesis must be the hypothesis you are almost sure of. Just an important note, that when you are doing a tests, you are testing if a certain event probably occurs at certain level of significance. The alternative hypothesis is the opposite one.
It means that you can take a load of statistics and make all sorts of conclusions you want for it to back up what you want to find. You can ignore certain things, while present other things that support what you want to say. An example is where 52% of children from the south of the city have passed an exam, while 54.3% of the children in the north have passed an exam. So a politician may say that children in the north are more intelligent. In actual fact, the sample size may only be around 17, while the test is only aimed at a small age group, so the politician is wrong to make such a sweeping statement. It's a case of interpreting the statistics how you like, it can be easily done, but may be wrong to do so.
The first answer wasn't valid at all. The first answer 5 out of 3 doesn't make sense. It would depend a lot on where you were enforcing the law as well as what type of law enforcement you do. Someone in Tokyo would have almost no chance, while someone in Bahgdad would be almost certain to have a gunfight at soome point. In the US it is uncommon for the average policeman to ever fire his weapon in the line of duty, except at the range.
The first digit can be any one of 8. For each of these . . .The second digit can be any one of 10. For each of these . . .The third digit can be any one of 10. For each of these . . .The fourth digit can be any one of 8.Total possibilities = (8 x 10 x 10 x 8) = 6,400
25 meters because 25/20 = 15/12 which is the tangent ratio.
As the question is stated, Tom is standing IN THE TOWER'S SHADOW. If so, then Tom can't cast a shadow of his own, because he is not illuminated. Let's assume the question means to imply that Tom's shadow is measured AT THE SAME TIME that the shadow of the tower is measured, and kind of NEAR the tower, so that the sun casts both shadows from the same place in the sky. If this is a valid assumption, then the tower is 12 meters tall.
The ratios are in the same proportion, so all you need to really figure out is what is in the same ratio to 20 as 6 is to 4.
During a full lunar eclipse, the visible half of the moon's surface is in the Earth's shadow while the rest does not receive sunlight because it is facing away from the Sun. Lunar eclipses occur during full moon phases.
Answer is 14 feet
Birds flying up in the sky do not cast their shadow because the source of light (sun) is too large compared to the object (bird) and the umbra of the shadow formed on the screen (ground) is very small, negligible.So it is tough to see its shadow on the ground. (P.S. If this is a VNS student reading this for Physics research, then I'm pretty sure you're in my grade and you know who I am)
the shadow will famll east
The umbra is the darker area of complete shadow, while the penumbra is a lighter area that is only partly shadowed. You can demonstrate this at home. Set up two lamps a couple of feet apart. Hold up a beach ball or sheet of cardboard smaller than the separation, several feet away from the lamps. Each lamp casts light in all directions, and the obstruction casts a shadow - a separate shadow from each lamp. Where both lamps' shadows overlap, this is the umbra. Where one lamp is lighting up the shadowed area from the other lamp, this is the "penumbra".
An eclipse is a shadow. A lunar eclipse is the shadow of the Earth darkening the Moon, while a solar eclipse is a shadow of the Moon darkening the Earth.
Because the Tooth Fairy casts a spell on you.
While it is unlikely that there will be another "shadow the hedgehog" game due to there being a very large fan blowback from the title, he will undoubtedly be part of the story in many future games and very likely be playable because he is the second most popular sonic character and serves as sonic's foil.
A bigger source will cast a fuzzier, less distinct shadow. A single point source, infinitely small, will on the other hand cast a perfectly defined shadow with an abrupt edge. The shadow is likely to be a good image of the object that casts it. But imagine standing in the shadow of an object shading you from a larger light source, like the moon. As you move your head, sometimes the moon's disc will only partially be obscured, and sometimes completely. The area of the shadow where the light is only partly blocked is the penumbra. A limited region of the shadow is shaded entirely from the light source: this is the umbra. The specific effect of enlarging a light source is to make the penumbra bigger and the umbra smaller. More areas will receive less than 100% of the light, but a smaller area will be 100% shadow - hence the blurring effect. Light and shadow are more evenly distributed. Overall, the area in some degree of shadow will increase. Try observing the shadow of your finger under artificial lighting at home: the dark umbra should be visible, and the grey penumbra where the shadow fades continously away to nothing. The blurring will also be exacerbated by moving your finger away from the surface onto which its shadow falls. Note that it is the angular size of the source that really matters. The sun is huge, but since it is so distant its angular diameter is only half a degree, so it casts fairly sharp shadows.