0
How high is a tree that casts a 38 ft shadow when at the same time a pole casts an 11 ft shadow?
Wiki User
∙ 13y ago
The question cannot be answered on two counts:
first of all, how "high" the tree is would mean how far off the ground the tree is, although the question probably meant how "tall" the tree is
more importantly, the question does not mention how tall the pole is, so it is not possible to determine how tall the tree is, even assuming that both the tree and the pole are at right angles to the ground
Answer
The ratio of the height of the pole (Hp) to the length o the shadow of the pole (Lsp) is the same as the ratio of the height of the tree (Ht) to the length of the shadow of the tree (Lst).
So
Hp/Lps = Ht/Lst
So inserting the known data:
Hp/11 = Ht/38
Then reorganizing:
Ht = 38/11 Hp = 3.45Hp
The tree is 3.45 times the height of the pole
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
How high is a tree that casts a 63 ft shadow at the same time a 21ft pole casts a shadow which is 21 ft long?
The shadow:object ratio is 1:1 so the tree is 63 feet high.
How high is a tree that casts a 21 ft shadow at the same time an 8 ft pole casts oshadow that is 3 feet long?
If the tree is T ft high, then T/21 = 8/3 so that T = 21*8/3 = 56 feet.
How high is a tree that casts a 21 foot shadow at the same time a 6.5 foot man cast a 5 foot shadow?
27.3 feet
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
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.
How tall is a tree that casts a 25 foot shadow at the same time a 9 foot light pole casts a 15 foot shadow?
15 feet high
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
How high is a tree that casts a 63 ft shadow at the same time a 21ft pole casts a shadow which is 21 ft long?
The shadow:object ratio is 1:1 so the tree is 63 feet 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 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 high is a tree that cast a 24-foot shadow at the same time a 8-foot pole casts a shadow which is 11-foot long?
17.45 feet.
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 tall is a billboard that casts a 45 ft shadow at the same time that a 5.5 woman casta a 10ft shadow?
1. How high is a flagpole that casts a shadow of 45 ft at the same time a woman 5.5 ft tall casts a shadow 10 ft?
A vertical pole five feet long casts a shadow of 2 feet if at the same time a nearby tree casts a shadow of 10 feet how tall is the tree?
25 feet tall
A building casts a 7.5m shadow at the same time that a 40m pole casts a shadow of 3m. How high is the building?
Ratio of shadows = 3m:7.5m :: 1:2.5 So, the ratio of the heights (in the same order) is 1:2.5 ie Ht(Pole):Ht(Building) = 40m:Ht(Building) = 1:2.5 So Ht(Building) = 2.5*40m = 100 metres
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
