(Q7) A wire of length 18 m had been tied with electric pole at an angle of elevation 30o with the ground. As it is covering a long distance, it was cut and tied at an angle of elevation 60o with the ground. How much length of the wire was cut ?

Solution :

18 mh m6030(18 - x)

Length of the wire = 18 m

Let the length of the wire removed = x

Height of the pole be = h

From the figure

sin 30° =
h
1
=
h
h =
= m
Also sin 60° =
h
- x
=
- x

(-x) = ×

- √ x =

x = -

x = (√ - )

x =
(√ - )
√3
=
× 3(√ - )
√3

x = √3(√ - ) = - √3

x = - 10.392 = .608m