Question

You want to erect a pole of height 10m with the support of three ropes. Each rope has to make an angle 30° with the pole.What should be the length of the rope?​

Answer 1

Answer:

To find the length of each rope we will find the length of a single rope which is equals to length of all ropes. Given that rope is inclined at the angle of 30°.it will form a right angled triangle and by using trigonometric ratio we can calculate the length of rope as:-

Let us assume that length =l

$now \\ in \triangle \: ABC(attachment) \\ cos 30 \degree = \frac{10}{l} \\ \implies \frac{\sqrt{3}}{2} = \frac{10}{l} \\ \implies \: l = \frac{20}{\sqrt{3}}$

As, All ropes are of equal length and have same inclination ,so length of each rope will be same.

So to find total length of ropes we should multiply length of 1rope by 3 .

So

Total Length of rope will be

20/√3 ×3

=20×√3

= 34.64.

Answer 2

Answer:

hey tenth class question kada

I think applications of trigonometry chapter anukunta

let angle = @

consider of of the rope

cos @ =10/ length of rope

cos30 = 10 / length of rope

√3/2 = 10/length of rope

length of rope = 20/√3

total length of rope = 3* length of rope = 20√3

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