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How tall is a flag pole that casts an 18 ft shadow at the same time that a 6 ft man casts a 4 ft shadow?
We can solve this problem using a ratio. Since a 6 foot man casts a 4 foot shadow we can write this ratio as 6:4. If we reduce this ratio we get 3:2. Now we're stating that for every 3 feet of height, the shadow cast will be 2 feet.
Now we can work our problem out using a small table:
- 3 feet of flag pole = 2 feet of shadow
- 6 feet of flag pole = 4 feet of shadow
- 9 feet of flag pole = 6 feet of shadow
- 12 feet of flag pole = 8 feet of shadow
- 15 feet of flag pole = 10 feet of shadow
- 18 feet of flag pole = 12 feet of shadow
Therefore an 18 foot flag pole will cast a 12 foot shadow at the same time that a 6 foot man casts a 4 foot shadow.
What else can I help you with?
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 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 vertical pole 5 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?
The tree is 25 feet tall. A 5 foot pole cast a 2 foot shadow. This means that the sun angle causes the shadow to be 2/5 the length of the object casting it. The tree's shadow is 10 feet tall. Multiply 10 feet by 5/2 (inverting the fraction because we're going the other way) and we get 25 feet.
A pole that is 2.6m tall casts a shadow that is 1.51m long At the same time a nearby building casts a shadow that is 42.25m long round your answer to the nearest meter How tall is the building?
Let x = the height of the building. So we have, x/2.6 = 42.25/1.51 x = (2.6)(42.25)/1.51 x =72.75 Thus, the building is 72.75 meter tall.
How tall is a tree that casts a 25 foot shadow at the same time a 6 foot stick casts a shadow 4.5 feet long?
A stick is 6/4.5 = 4/3 times its shadow. So the tree is 4/3*25 = 33.3... feet or 33 ft 4 inches tall.
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 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 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 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
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 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 cast a 24-foot shadow at the same time a 8-foot pole casts a shadow which is 11-foot long?
17.45 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.
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 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
A lighthouse casts a 72-yard shadow at the same time as a 32-foot tall billboard casts a 19-foot shadow?
121.3yd
