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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?
Wiki User
∙ 14y ago
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
Wiki User
∙ 14y ago
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A building that is 150 ft tall casts a shadow of 20 feet long at the sam time a tree casts a shadow of 2 ft how tall is the tree?
h = height of tree 150 / 20 = h / 2 h = (150/20) X 2 h = ? (you figure it out)
A 3 foot pole casts a 6 foot shadow A 4 foot pole casts an 8 foot shadow Use a linear equation to predict the length of a shadow cast by a 6 foot pole?
Shadow lengths are proportional to the heights of objects casting the shadows. Therefore, calling the shadow length l, the height h, and the proportionality constant k, l = kh. (The intercept is 0 because an object with no height casts no shadow.) Therefore, in this instance k = l/h = 6/3 or 8/4 = 2. then l(6) = 2 X 6 = 12 feet.
What is the height of a flagpole if a person 5 feet tall casts a 10 foot shadow at the same time that the flagpole casts a 40 foot shadow?
The flag pole would be 20 feet. (You can see that the shadows are twice as long.) At a given time of the day, the length of a shadow cast by any object will have the same relationship to its actual height as all other objects. Here the ratio is 5/10 = x/40 and multiplying both sides by 40, 20 = x.
If a tree is 12 feet tall and has a 16 ft shadow how tall is a tree that casts a 20 ft shadow?
Assuming the shadows are measured at the same time of day and that the trees are on level ground, the tree with a 20-foot shadow is a quarter longer than the tree with a 16-foot shadow. Adding a quarter of the height to 12 feet makes it 15 feet tall. Alternatively use the tangent ratio which will be opposite (height of 1st tree) over adjacent (its shadow) and multiply it by the adjacent of the 2nd tree: (12/16)*20 = 15 feet tall.
A 6.5 ft tall car standing next to an adult elephant casts a 33.2 ft shadow. if the adult elephant casts a shadow of 51.5 ft long then how tall is it?
10.08 feet approx.
What is the height of a telephone pole that casts a shadow of 15 feet if a 6 foot tall man casts a shadow of 3.5 feet?
2
A tree is 18 feet tall and casts a shadow 6 feet long A nearby sign casts a 3 foot shadow What is the height of the sign?
A 1 foot shadow I think.
How tall is a tree that casts a 30 ft shadow at the same time an 18 ft pole casts a shadow that is 6 feet long?
It is 90 feet in height
What is the height in feet of a flagpole which casts a 6-foot shadow when a 6-foot man cast a 3-foot shadow?
Using trigonometry its height is 12 feet
How tall is a flagpole that casts a shadow of 35 feet long with a man 6 feet tall who cast a shadow of 8 feet long?
The height of the flagpolle is 26.25 feet
How high is a tree that casts a 37 ft shadow at the same time a 4foot pole casts a 12 foot shadow?
It works out as 12 feet and 4 inches in height
What is the height of the tree if it casts a shadow 146 feet long?
It depends on the time of day because the angle of the sun will determine the shadow length
What is the height of a building that cast a 105' shadow when a 6' man casts a 14' shadow?
Height of building/105 = 6/14 Multiply both sides by 105: Height = 630/14 Height = 45 feet
If a tree 17 feet tall casts a shadow 12 feet long how high is a building that casts a shadow 19 feet long?
To cast a 19 foot shadow the building would have to be 26.91 feet tall. Each foot of building/tree casts 8.47 inches of shadow.
How high is a tree that casts a 33 ft shadow at the same time a 5 ft pole casts a shadow which is 12 ft long?
(12 / 5) × 33 = 79.2 feet high Divide the pole shadow by the pole height: (12 / 5) = 2.4 feet Times the 2.4 by the tree shadow of 33 feet: 2.4 x 33 = 79.2
How tall is a flagpole on ground level that casts a shadow 35 feet long with a man that stands 6 feet tall and he casts a shadow of 8 feet long?
28 feet
When the angle of elevation on of the sun is 75 degree a building casts shadow of 125 feet how tall is the degree?
If you mean the height of the building then it works out as 466.5063509 feet
