Question

a circus artist is climbing from the groumd along a rope streched from the top of a verticle pole and tied at the ground . the height of the pole is 12 m. and the angke made by the rope with grnd level is 30°.
i) calculate distmve covered by the artist in clumbing the top of pole.
ii) which mathematical concept is used in prblm.?​

Answer 1

HeYa❤️...

Answer:

(i) Distance covered by the artist is equal to the length of the rope AC.

Let AB be the vertical pole of height 12 m.

It is given that angle ACB = 30°.

In right angled triangle ABC,

Sin30°= AB/AC

1/2= 12/AC

AC= 24cm.

(ii) Height and distance.

I hOpe It HeLpS Ya!

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Answer 2

Answer:

Let the Right Angle Triangle, where B = 90° and, Angle C = 30°.

• let Pole be AB, and length of rope be AC

• In ∆ABC ; using Trigonometric Value

⇒ sin C = AB /AC

⇒ sin 30° = AB /AC

⇒ 1 /2 = 12 m /AC

⇒ AC = 12 m × 2

⇒ AC = 24 m

∴ Length of Rope be 24 m.