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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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.
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