The length of the shadow is proportional to the height of the post. Thus, if l is the length of the unknown shadow, l/17 = 1.2/5 or l = 4.1 feet. This should be rounded to 4 if the value 5 is not considered to be known to at least two significant digits.
Ratio of object to its shadow is the same. So if T is the height of the tree, then T/21 = 4/6 So T = 21*4/6 = 84/6 = 14 feet
10 ft 3.5 in (to the nearest half inch). There are two similar triangles: The shadows corresponds to one side and have the ratio of 7 : 12 (Jimmy : pole) = 7/7 : 12/7 = 1 : 12/7 So for every 1 of Jimmy's shadow, the pole's shadow is 12/7. The heights are in the same ratio, thus: The height of the pole is 6 x 12/7 ft = 72/7 ft = 10 2/7 ft ≈ 10.29 ft ≈ 10 ft 3.5 in (to the nearest half inch)
PS.....Post script adendum
David Niemeyer and Garrett Gresham
12 feet
Let the length of the shadow be x and use the tangent ratio: 5/1.2 = 17/x Make x the subject of the equation: x = (17*1.2)/5 x = 4.08 feet
The shadow of a solid object is cast by the Sun on the ground. As the Sun appears to cross the sky between dawn and dusk, so the length of the shadow also changes, both in direction and in length on the ground.Put a wooden post a metre high in open ground on a sunny day. Use a watch, and every hour place a small rock where the end of the post's shadow is on the ground. Eventually, you will see by the position of the rocks, just how the shadow of the post changes during the day.
The lower the sun in the sky, the longer the shadow. A shadow is always cast in the opposite direction of incident sunlight. When the sun is directly overhead (at noon) the shadow is shortest.
The ratio of the shadow cast to the height of an object will be the same at the same time of day. For the fence post, the height of the post is 2.5 times the length of the shadow ( 5 ft / 2 ft = 2.5 ) The tree has a 10 foot shadow, so using the same ratio for the fence post: 10 ft * 2.5 = 25 feet. The tree is 25 feet tall
The amount of sunshine, where the sun is, and if there is any sun at all. The angle of the light hitting the tree if the sun is high in the sky the Shadow is short for example if the sun is directly over a post then the post will cast no shadow. as the sun moves into a position that causes its light to shine on the side of the post a shadow will appear on the opposite side of the post where it blocks the sun. as the sun seems to assume a relatively lower position compared to the horizon it will make the shadow longer and longer.
56.25 feet
Because - the angle of the lamp in relation to your body changes,
Because - the angle of the lamp in relation to your body changes,
A shadow is cast when sunlight is blocked by a solid object - a person, a post, etc.
I think this question is about similar shapes. To answer this divide the height of the tree, 5ft, by the shadow cast by it, 3 ft. This will give you the scale factor. To then find the answer, times the scale factor by the shawdow cast by the nearby tree, and will find your answer in ft. Hope this helped.
It works out as 30 feet in height
If the direction from which the light comes changes, then the direction of the shadow changes as well. The shadow basically points away from the light source.