Question

the angle of elevation of the top of a vertical tower from two points distant a and b from the base and in the same line with it are complementary prove that the height of the tower is root ab if a=18m b= 32 m then what will be the height of tower
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Answer 1

Answer:

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Answer 2

$Question$

The angle of elevation of the top of a vertical tower from two points distant a and b from the base and in the same line with it are complementary prove that the height of the tower is root ab if a=18m b= 32 m then what will be the height of tower

$Answer$

ha=tanθ⇒h=atanθ……..(i)

hb=tan(90∘−θ)=cotθ

⇒h=bcotθ……….(ii)

From (i) and (ii), we get

h2=ab and hence h=ab−−√.

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