Q.

The angles of elevation of the top of a tower from two points at distance m and n metres are complementary. If the two points and the base of the tower are on the same straight line, then the height of the tower is


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a

mn

b

   mn

c

mn

d

  None of these 

answer is A.

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Detailed Solution

It is given that the angles of elevation of the top of a tower from two points at distance m and n metres are complementary.
Question ImageFrom ΔADB, hm=tanθ From ΔABC, hn=tan(90-θ) =cotθ hm×hn=tanθ × cotθ
hm×hn=1
h=mn Hence, the correct option is 1.
 
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