Question

The top of two poles of height's 20m and 14m are connected by the wire

Answer 1

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;

$tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}$

Which gives;

$D = \dfrac{6}{tan(30 ^{\circ}) } = 10.39 \ m\approx 10 \ m$

The correct option is 10 m.