Question

An electric pole is 12 m high. A steel wire tied to
of the pole is affixed at a point on the ground to
keep the pole upright. If the wire makes an angle
of 60° with the horizontal through the foot of the
pole, find the length of the wire.​

Answer 1

Answer:

you can see diagram in the attachment there

p= 12m

h=?

sintheta = p/h

sin60°= 12/h

root3/2=12/h

h=24/root3

h= 14m (approx.)

therefore length of wire = 14m

Answer 2

8√3m

Step-by-step explanation:

let ab be the electric pole of height 12 m AC B the still wire tie to the top of the pole is a fixed at a point on the ground.

AB=12m

let AC be x m

then,

sin theeta= AB/AC

sin 60°=12/x

√3/2=12/x

√3x=24

x=24√3

then rationalize it

x=24/√3*√3/√3

=24√3/3

=8√3

hence, x=8√3m

therefore, length of steel wire is 8√3m

hope you like it

thankss