The top of two poles of height 24 cm and 36 cm are connected with

The top of two poles of height 24 cm and 36 cm are connected with
| The top of two poles of height 24 cm and 36 cm are connected with a wire. If the wire makes an angle of 60° with the horizontal, then find the length of the wire.

A. 4√3 cm

B. 8√3 cm

C. 6√3 cm

D. 3√3 cm

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

FORMULAE USED:

sin θ = Perpendicular/Hypotenuse

CALCULATION:

From the figure,

Length of the wire is FE,

In ΔEFD,

sin60° = ED/FE = (36 - 24)/FE

⇒ FE = 8√3 cm

∴ Length of the wire = 8√3 cm