Math, asked by arvibabu1296, 1 year ago

each side of a square subtends an angle of 60°at the top of a tower of heiggt h metres standing at the square.if l is the length of each side of the square,then what is h² equal to?

Answers

Answered by Jsatyam
0

Answer:

i know but i didnt explain now

Step-by-step explanation:

Answered by Anonymous
2

Question:- Each side of a square subtends an angle of 60 degree at the top of a tower h meters high standing in the centre of the square.If 'a' nis the length of each side of square, then prove that 3a2 = 2h2.

Answer:

Step-by-step explanation:

Keeping in view the attached image;

Since the sides of the square is a, the length of the diagonal is;

AC= √2a

So,

OA=AC/2

As, OB=h

In the triangle AOB,

tan60°=OB/OA

√3=h÷a/√2

√3a=√2h

When we square on both sides;

3²=2h²

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