Question

a circus artist is climbing on 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 degree.​

Answer 1

Step-by-step explanation:

Let AC be the rope whose length is 20 m, and AB be the vertical pole of height h m and the angle of elevation of A at point C on the ground is 30°. Hence, the height of the pole is 10 m.

Answer 2

Answer:

• Thus , the Height of the pole of the AB is 10 m

Step-by-step explanation:

Given :-

• The length of the rope is l = 20 m

• The angle of the rope with the ground in 30 degree.

To find :-

• The Hight of the vertical pole .

• The diagram are as follows: AB is the rope and AC is vertical pole .

Solution :-

• To solve this problem first we need to draw the diagram based on the details given in the question. Then we can start to solve it.

• The given question is based on the topic trigonometry In this question we need to find the height of the pole. To find the height we use trigonometry because the surface of the ground, the height of the pole and the line of elevation all together form a right angle triangle with 90 degrees between the pole and the ground.

• We know that, Sin θ = opposite side / adjacent side

→ let the Hight of the pole AB = hm

→ Now the length of the rope AC = 20 m

∠C = 30°

→ [ Sin 30° = AB / AC ]

→ 1 / 2 = h / 20

→ h = 10 m

∴ Thus the the Height of the pole of the AB is 10 m