NCERT Solutions 10th Maths Chapter 9 Some Applications of Trigonometry Exercise 9.1

NCERT Solutions For Class 10 Maths Chapter 9 Exercise 9.1 we will restart our exploration of the world of Some Applications of Trigonometry. Thus, we are providing you Chapter 9 Some Applications of Trigonometry NCERT Class 10 Maths Solutions that will help in achieving more marks. You don't have to wander and waste your precious time in finding best CBSE NCERT Solutions.

Exercise 9.1
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°. Solution: Given: length of the rope (AC) = 20 m, and ∠ACB = 30° Let height AB of pole be h m. Solution:


Hence, height of the pole = 10 m
2.A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.
Solution:
Let AB is the broken part which bends from the point B and touches the ground at D.
Given: ∠BDC = 30° and DC = 8 m

3.A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5 m, and is inclined at an angle of 30° to the ground, whereas for elder children, she wants to have a steep slide at a height of 3 m, and inclined at an angle of 60° to the ground. What should be the length of the slide in each case?
Solution:
Let the length of slide for children below the age of 5 years be x m and length of the slide for elder children be y m.