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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?
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.
How is a tree that casts a 28-ft shadow at the same time a 4-ft pole casts a shadow which is 9-ft long?
The height of the tree is in direct proportion to the pole and its shadow
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 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
At a certain time of day a tree casts a 9 foot shadow at the same time that a person 6 feet tall casts a 4 foot shadow What is the height of the tree?
If the shadow of a 6-ft person is 4-ft long, then in this place at this moment, all shadowsare 2/3 the length of the vertical object that casts them.The 9-ft shadow therefore 2/3 the height of the tree. The height is (9)/(2/3) = (9 x 3/2) = 13.5-ft.-----------------------------------------(9/4)*6=13.5 ft.
How high is a tree that's casts a ft shadow at the same time a ft pole casts a shadow which is ft long?
To determine the height of the tree based on the shadow length, we can use the concept of similar triangles. If the tree casts a shadow of 1 foot while a 1-foot pole also casts a shadow of 1 foot, then the height of the tree is the same as the height of the pole. Thus, the tree is also 1 foot tall.
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 casts a 24 ft shadow at the same time a 12 ft post casts a shadow which is 12 ft long?
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.
How is a tree that casts a 28-ft shadow at the same time a 4-ft pole casts a shadow which is 9-ft long?
The height of the tree is in direct proportion to the pole and its shadow
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
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
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
A flagpole casts a shadow of 40 ft nearby a 10-ft tree casts a shadow of 2 ft what is the height of the flagpole?
Ten is to two as 40 is to x, yielding: 200ft.
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
A vertical yardstick casts a 1 foot shadow and the same tree nearby casts a 15 foot shadow How tall is the tree?
That depends on the height of the yardstick whose height has not been given.
