Question

the angle of elevation of the top tower from two points at distance of X and Y are complementary,then the height of tower is ?​

Answer 1

Step-by-step explanation:

Let the height of the tower be h.

In right △ABC

tanθ=

x

h

…(i)

In right △ABD

tan(90−θ)=

y

h

…(ii)

From (i) & (ii) we get,

tanθ×tan(90−θ)=

x

h

×

y

h

⇒tanθ⋅cotθ=

xy

h

2

⇒h

2

=xy

⇒h=

✓xy