Question
Each corner of a square subtends an angle of 30∘ at the top of a tower 'h' meters high standing in the centre of the square. If 'a' is the length of the each side of square then the relation between h and a is
Answer: Option C
:
C
We can go ahead and assume values for H and deduce the value of a, substitute it in the given equations and eliminate the wrong answer choices.
Let us assume the value of h= √3
As it is a 30-60-90 triangle we will have the ratio as 1:√3:2.
Hence the diagonal of the square will be 2 and the side 'a' will be √2
Now applying this in the answer options we see that only option (c)gives us RHS= LHS.
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:
C
We can go ahead and assume values for H and deduce the value of a, substitute it in the given equations and eliminate the wrong answer choices.
Let us assume the value of h= √3
As it is a 30-60-90 triangle we will have the ratio as 1:√3:2.
Hence the diagonal of the square will be 2 and the side 'a' will be √2
Now applying this in the answer options we see that only option (c)gives us RHS= LHS.
Was this answer helpful ?
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