Question

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30°. (see fig. 9.11)



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Answer 1

Answer:

10 m

Explanation:

Solution:

Length of the rope is 20 m and angle made by the rope with the ground level is 30°.

Given: AC = 20 m and angle C = 30°

To Find: Height of the pole

Let AB be the vertical pole

In right ∆ABC, using sine formula sin 30º = AB/AC

Using value of sin 30 degrees is 2, we have

1/2 = AB/20

AB = 20/2

AB = 10

Therefore, the height of the pole is 10 m.

Answer 2

❥ᴀɴsωᴇʀ ↴

⠀⠀⠀⠀⠀⠀⠀⠀⠀● AC = 20 m be the rope which the circus artist is climbing,

⠀⠀⠀⠀⠀⠀⠀⠀⠀● ∠ACB = 30°

⠀⠀⠀⠀⠀⠀⠀⠀⠀● In ΔABC, sin 30° = ABAC=h20ABAC=h20 ⇒ h20=12h20=12 ⇒ h = 1212 x 20m

⠀⠀⠀⠀⠀⠀⠀⠀⠀● = 10m

⠀⠀⠀⠀⠀⠀⠀⠀⠀● ᴄʜᴇᴄᴋ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ~

⠀⠀●SOLVED●

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