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Q: What is the proportion for a 10 foot pole in a 13 foot shadow?
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How long is the shadow if a nearby 10-foot tall basketball hoop casts a 7-foot shadow?

3


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 shadow6 feet of flag pole = 4 feet of shadow9 feet of flag pole = 6 feet of shadow12 feet of flag pole = 8 feet of shadow15 feet of flag pole = 10 feet of shadow18 feet of flag pole = 12 feet of shadowTherefore 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.


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 90-foot tall lakefront hotel casts a shadow on the water how long is the shadow if a nearby 10-foot tall basketball hoop casts a 7-foot shadow?

63 feet


How high is a tree that casts a 27 foot shadow at the same time a 5 foot man cast a 13 foot shadow?

10.'384615' (recurring decimals) feet


How long a shadow would a 140 foot building cast if a 6 foot person cast a 10 foot shadow?

140*10/6 = 233.33... ft or 233 ft 4 inches. Except at that distance, the end of the shadow would be too diffuse to measure accurately.


How tall is a child with a 10 foot shadow?

It depends what time of day it is.


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.


If a tree 10 feet tall casts a shadow 5 feet long how long is the shadow cast by a pole 12 feet tall?

6 feet


What is the longest length a shadow cast of a 10 foot tall object?

In therory, infinitely long. In practice, the shadow will fade into dispersed light.


Would you touch an elephant with a 10 foot pole?

Yes I would, if their regular handler was in the pen with me.


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