As the sun is far enough away, the rays of light are effectively parallel.
This produces similar triangles with the ratio of sides the same in each case.
As the shadow of the post is 12 ft and the shadow of the tree is 24 ft, the sides of the triangle of the tree are double that of the post.
Assuming the post is parallel to the tree, the tree's height is twice the height of the post
→ tree = 12 ft × 2 = 24ft high.
(35/7)*4 = 20 Ft.
20/16 = h/12;Cross multiply: 16 x h = 20 x 12h = 20 x 12/16 = 240/16 = 15 in
25 feet tall This is in effect asking about similar triangles, the bases of which are the shadows and the (perpendicular) heights are the heights of the objects. Therefore, using the ratio of the two triangles (calculated from the "shadow" sides) the height of the tree can be determined. The ratio of the shadows of the post to tree is: 2ft : 10ft = 1:5 So the height of the tree is five times the height of the post. Thus: Height_of_tree = 5 x 5ft = 25 ft
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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.
40 ft
50 feet
(35/7)*4 = 20 Ft.
20/16 = h/12;Cross multiply: 16 x h = 20 x 12h = 20 x 12/16 = 240/16 = 15 in
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
56.25 feet
To solve this you need to put 5.3 over 8 to represent the first lamp post then you need to put x over 128, so you can find the height of the lamp post. The lamp post is 84 feet 8 inches.
It works out as: (28*5)/12 = 11 and 2/3 meters
inverse of tan(h/6). where h=height of street post in meters.
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 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.
It could take as long as seven to eight years (post high school), depending on the specialty.It could take as long as seven to eight years (post high school), depending on the specialty.It could take as long as seven to eight years (post high school), depending on the specialty.It could take as long as seven to eight years (post high school), depending on the specialty.It could take as long as seven to eight years (post high school), depending on the specialty.It could take as long as seven to eight years (post high school), depending on the specialty.