Math, asked by kingkaleem123, 6 months ago

find height of flagpole please​

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Answers

Answered by anbuchelvanari
0

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.

Answered by DhanurRelhan
6

\sf\huge{\underline{Question :}}

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?

\sf\huge{\underline{Answer :}}

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.
  1. AA criteria
  2. 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}

 \dfrac{6}{4}  =  \dfrac{H}{50}

\longrightarrow H =  \dfrac{3}{2} \times 50

\longrightarrow H =  75 ft

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