# 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:**

Given:

- Length of rope = 20 m
- The angle of rope with ground = 30°= ∠ACB

We have to find the height of the pole.

AB = Height of the Pole

BC = distance between the point on the ground and the pole.

AC = Length of the Rope (Hypotenuse)

In ΔABC,

sinC = AB/AC

sin30^{o} = AB/20

1/2 = AB/20 [Since sin30^{o} = 1/2]

AB = (1/2) × 20

AB = 10 m

Height of pole AB = 10 m

**Video Solution:**

## 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).

### Maths NCERT Solutions Class 10 - Chapter 9 Exercise 9.1 Question 1:

**Summary:**

If 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 and if the angle made by the rope with the ground level is 30°, then the height of the pole is 10 m.