Question

Two electric poles of equal height fixed on the opposite sides on the road are tide up with two equal wires AD and CF. From the given fig., (i) Show that Δ≅Δ (ii) Is BC = DE ? Show equal distribution for both the sides of the road for residence

Answer 1

ANSWER

Let AB and CD be the two poles and M be the point where the angle of elevation is made of 30

0

and 60

0

respectively.

Let the road CM =x m and AM =100−x m

In right angled △MCD, we have

tan60

0

=

CM

DC

⇒

3

=

x

h

⇒h=x

3

(i)

In right angled △MAB, we have

⇒tan30

0

=

AM

BA

⇒

3

1

=

100−x

h

⇒h

3

=100−x

⇒(x

3

)

3

=100−x ....(from {i})

⇒3x=100−x

⇒4x=100

⇒x=25 m

Therefore, height of pole CD,

⇒CD=25×1.732

⇒CD=43.25m

Thus, height of each pole is 43.25 m.

solution

I hope you are understand my solution