find height of flagpole please
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Answer: 1/3 of 100 feet
Step-by-step explanation: The man's height: 6 ft tall is the whole and the shadow: 4 ft tall are the parts 4 this means the fraction from this logic is 4/6 = 2/3. 2/3 of 50 = 33.33333333333333333 Infinite or 1/3 of 100 ft.
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A man 6 feet tall casts a shadow 2 ft long, at same time, a flag pole casts shadow which is 50ft long, how tall is flag pole?
Previous Knowledge Req. :
- At a time Sun is at One position so the angle of elevation made by different object with shadow, is same for all the objects.
- Similarity on triangles.
- AA criteria
- Same Ratio of Sides property
Given :
Two triangles{if we objectify the condition given}
sides 6,4 and H,50
Triangles are Similar— our deduction made from given condition.
To Find :
H, height of the Flag Pole
Solution :
Let H be the height of the Flag Pole
Both triangles are similar, using AA{or AAA} criteria
Height of both Thing are in the same ratio as of their shadows. {property of similar triangles}
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