Answer:
The correct option is;
10 m
Step-by-step explanation:
The parameters given are;
Height of the first pole = 20 m
Height of the second pole = 14 m
The angle the wire connected to their top makes with the horizontal = 30°
The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.
Let the horizontal distance between the two poles = D
Therefore;
The horizontal length of the wire = D
From trigonometric ratios, we have;
[tex]tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}[/tex]
Which gives;
[tex]D = \dfrac{6}{tan(30 ^{\circ}) } = 10.39 \ m\approx 10 \ m[/tex]
The correct option is 10 m.
