Question

the tops of two poles of height 20 metres and 14 metres are connected by a wire if the wire makes an angle of 30° with horizontal then the length of the wire is​

Answer 1

Let AB and CD be the two poles of height 20m and 14m.Take a point P on AB such that PB = CD.

Then, AP = AB - PB = AB - CD = 20 - 14 = 6

Join the AC and CP.

AC is the wire connecting the tops.So, you have to find AC.

In ACP,

Þ sin 30 = AP/AC

Þ 1/2 = 6/AC

Þ AC = 12

So, 12cm is your required answer.

Answer 2

Answer:

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Step-by-step explanation:

Let AB and CD be the two poles of height 20m and 14m.Take a point P on AB such that PB = CD.

Then, AP = AB - PB = AB - CD = 20 - 14 = 6

 Join the AC and CP.

AC is the wire connecting the tops.So, you have to find AC.

In ACP,

Þ sin 30 = AP/AC

Þ 1/2 = 6/AC

Þ AC = 12

So, 12cm is your required answer.

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