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.
30 feet tall
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.
25 meters because 25/20 = 15/12 which is the tangent ratio.
SixIf only the order is interesting (not the direction that they are oriented) then In the first place there can be any of the three, in the second place there can be either of the two left and then the last place is a given so: 3 * 2 * 1 = 6Six different orders for three people standing in a line.If their direction is also interesting to take into account (e.g. the middle person facing north while the others face east) then you have to know how many different directions and if standing on their heads counts as different etc.
it means "in a while"
long; great while.
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.
25 meters because 25/20 = 15/12 which is the tangent ratio.
Answer is 14 feet
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.
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.
(18/16)x40=45
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.
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".
Giraffes normally sleep while standing up.
POTTY