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NCERT Solutions Class 10 Mathematics Solutions for Some Applications of Trigonometry - Exercise 9.1 in Chapter 9 - Some Applications of Trigonometry

Question 1 Some Applications of Trigonometry - Exercise 9.1

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. )

Question 1 Image - NCERT Solutions - Mathematics , Class 10 chapter Some Applications of Trigonometry

Answer:

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 ΔABC, using sine formula

sin 30° = AB/AC

Using value of sin 30 degrees is ½, we have

1/2 = AB/20

AB = 20/2

AB = 10

Therefore, the height of the pole is 10 m.

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