Question

The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30 degrees with horizontal, then the length of the wire is ​

Answer 1

Given,

The tops of two poles of height 20 m and 14 m are connected by a wire.

The wire makes an angle of 30 degrees with horizontal.

To find out,

The length of the wire = ?

Explanation:

The length of a pole is 20 meters and the length of the other pole is 14 meters. A wire was connected to the tops of these poles and it makes an angle with the horizontal.

Solution:

Let, AB be the pole of height 20 meters and CD be the pole of height 14 meters.

The angle made by wire be at C.

i.e. AB = 20 meters

CD = 14 meters

<C = 30°

Now, in the figure (figure is in the attachment)

CD = BE = 14 meters

AE = AB-BE

AE = 20 - 14

AE = 6 meters

$\sin30 \degree = \frac{opposite \: side \: to \:30 \degree }{hypotenuse}$

$\frac{1}{2} = \frac{6}{AC \: }$

$AC \: = 6 \times 12$

$AC \: = 12 \: meters$

Therefore the length of the wire is 12 meters.

Answer 2

Answer:

AC=12m

Step-by-step explanation:

AB=20 m

CD=14m

angle C = 30 Degree

CD=14m (CD=BE)

AE= AB-BE

=6m

sin 30 = AE/AC

1/2 = 6/AC

AC= 6×2

AC= 12m.