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Home » 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)
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)
CBSE | Class 10 | Maths | NCERT | Some Applications Of Trigonometry
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)

Solution:

The rope is 20 metres long and makes a 30° angle with the ground level.

Given here: Measure of AC = 20 m and measure of angle C = 30°

We need to Find: Height of the pole

Let the vertical pole be AB

Using the sine formula, in right angle ΔABC,

AB/AC = sin 30°

Using the value of sin 30° which is ½, we get

½ = AB/20

AB = 20/2

AB = 10

As a result, 10 m is the height of the pole.

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