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How high is a tree that casts a 24 ft shadow at the same time a 12 ft post casts a shadow which is 12 ft long?
Wiki User
∙ 6y ago
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.
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoThe tree is 24 feet high.
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If a 4ft post casts a shadow of 7m what height is a tree that casts a shadow of 35m?
(35/7)*4 = 20 Ft.
A 20 inch post casts a shadow 16 inches long how tall is a post that casts a shadow 12 inches long?
20/16 = h/12;Cross multiply: 16 x h = 20 x 12h = 20 x 12/16 = 240/16 = 15 in
Thomas happened to notice that 4 oclock pm on his uncles farm a fence post that was 5 ft tall cast a 2 foot shadow he also noticed that a nearby tree cast a 10 foot shadow how tall is the tree?
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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Thomas happened to notice that at 400 PM on his uncle's farm a fence post that was 5 feet tall cast a 3 foot shadow He also noticed that a nearby tree cast a 12 foot shadow How tall is the tree?
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.
How high is a tree that casts a 25 ft shadow at the same time a 4 ft post casts a shadow which is 8 ft long?
50 feet
How high is a tree that casts a 40 ft shadow at the same time a 10 ft post casts a shadow which is 10 ft long?
40 ft
If a 4ft post casts a shadow of 7m what height is a tree that casts a shadow of 35m?
(35/7)*4 = 20 Ft.
A 20 inch post casts a shadow 16 inches long how tall is a post that casts a shadow 12 inches long?
20/16 = h/12;Cross multiply: 16 x h = 20 x 12h = 20 x 12/16 = 240/16 = 15 in
A tree casts a shadow that is 21 feet long at the same time as a fence post casts a shadow that is 6 feet long The fence post is 4 feet tall What is the height of the tree?
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
How high is a tree that cast a 25 ft shadow at the same time a 9 ft post cast a shadow which is 4 ft long?
56.25 feet
If A lighthouse casts a 128 foot shadow a nearby lamppost measures 5' 3 casts an 8 foot shadow Write a proportion that can be used to determine the height of the lighthouse?
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.
How high is a chimney whose shadow is 28 meters long when a five foot gate post cast a twelve-foot shadow?
It works out as: (28*5)/12 = 11 and 2/3 meters
What is the measure of the tangent angle that the rays of the sun make with horizontal if a street post standing vertically on a level surface casts a shadow of 6 meters?
inverse of tan(h/6). where h=height of street post in meters.
At any given time of the day the ratio of an object the length of its shadow is the same for all objects if a 5ft post casts a shadow of a 1.2ft find the length for a 17ft post?
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
What causes the length of the tree's shadow to change over the months?
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.
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