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Thomas happened to notice that at 4 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?
The tree was 20 feet tall.
What would be the length of the shadow of a 24 ft tree when a 40 ft tree casts a 16 ft shadow?
You have two similar triangles with one side the tree, and another the shadow Using the side with the tree, the ratio of the length of the triangles can be found: the triangles are in the ratio of 24 : 40 Thus divide the shadow of the 40ft tree by 40 to find out the length of shadow per foot of tree, and multiply this by 24 to find the length of the shadow of the 24 ft tree. This can be done by using the ratio as a fraction 24/40: → the shadow of the 24 ft tree is 16 ft × 24/40 = 9.6 ft
A tree is standing next to a 40 foot high building the tree has an 18 foot shadow while the building has a 16 foot shadow how tall is the tree rounded to the nearest foot?
(18/16)x40=45
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.
A tree cast a 9 ft shadow at the same time that the a person 6ft tall cast a 4 ft shadow what is the height if the tree?
To find the height of the tree, we can set up a proportion using the similar triangles formed by the tree and its shadow, and the person and their shadow. The ratio of the height of the tree to its shadow is the same as the ratio of the height of the person to their shadow. This gives us (height of tree)/(9 ft) = (6 ft)/(4 ft). Solving for the height of the tree, we get height of tree = (9 ft * 6 ft) / 4 ft = 13.5 ft.
