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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.
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A tree casts a shadow that is 20 feet long Frank is 6 feet tall and while standing next to the tree he casts a shadow that is 4 feet long How tall is the tree?
The ratios are in the same proportion, so all you need to really figure out is what is in the same ratio to 20 as 6 is to 4.
A person 122 cm tall casts a 37 cm shadow at the same time a tree casts a 148 cm shadow. How tall is the tree?
488 cm
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 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
If a tree casts a 22 foot shadow at the same time a 6 foot tall person casts a 4 foot shadow how tall is the tree?
The tree is 33 feet tall. Use ratios to solve this equation. 6/4 = n/22 6 x 22 = 4n 4n = 132 n = 33
