NCERT Solutions for Class 10 Maths Chapter 9
Important NCERT Questions
SOME APPLICAT IONS OF TRIGONOMETRY
(Height and Distance)
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 9.1
Page No:213
Questions No: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, 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 3m, and inclined at an angle of 60° to the ground. What should be the length of the slide in each case?
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Get here all the solutions of class 10 Maths Exercise 9.1
NCERT Solutions for class 10 Maths Exercise 9.1 all questions in Hindi Medium
Let AC be the slide for the children below the age of 5 years. The height of this slide is 1.5 m inclined at 30°.
In ΔABC,
AB/AC = sin 30°
⇒ 1.5/AC = 1/2
⇒ AC = 3
Let AC be the slide for the childern above 5 years which is 3 m high and inclined at 60° with the horizontal.
In ΔABC,
AB/AC = sin 60° ⇒ 3/AC = √3/2
⇒ AC = 6/√3 = 6√3/3 = 2√3
Hence, the height of the slides are 3m and 2√3.