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Summary CLASS 10 NCERT MATHEMATICS INTRODUCTION OF TRIGNOMETRY SOLUTIONS
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CLASS 10 NCERT MATHEMATICS INTRODUCTION OF TRIGNOMETRY SOLUTIONS
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NCERT Solutions for Class 10 Maths Unit 9Some Applications of Trigonometry Class 10
Unit 9 Some Applications of Trigonometry Exercise 9.1 Solutions
Exercise 9.1 : Solutions of Questions on Page Number : 203
Q1 :
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 °.
Answer :
It can be observed from the figure that AB is the pole.
In ΔABC,
Therefore, the height of the pole is 10 m.
Q2 :
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.
Answer :
,Let AC was the original tree. Due to storm, it was broken into two parts. The broken part is making 30° with the
ground.
In ,
Height of tree = + BC
Hence, the height of the tree is .
Q3 :
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, where as for the elder children she wants to have a steep side 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?
Answer :
It can be observed that AC and PR are the slides for younger and elder children respectively.
In ΔABC,
In ΔPQR,
Therefore, the lengths of these slides are 3 m and .
Q4 :
The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of
the tower is 30°. Find the height of the tower.
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