NCERT Solutions Class 10 Mathematics Chapter 9 Some Applications Of Trigonometry Download In Pdf

Chapter 9 Some Applications of Trigonometry Download in pdf

EXERCISE 9.1

**Question
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
30Â° (see Fig. 9.11).

**Question 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 30Â° 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.

**Question 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 30Â° 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 60Â° to the ground. What
should be the length of the slide in each case?

**Question 4.** 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 30Â°. Find the height of the tower.

**Question 5.** A kite is flying at a height of 60 m above the ground. The string attached to the kite is
temporarily tied to a point on the ground. The inclination of the string with the ground
is 60Â°. Find the length of the string, assuming that there is no slack in the string.

**Question 6.** A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of
elevation from his eyes to the top of the building increases from 30Â° to 60Â° as he walks
towards the building. Find the distance he walked towards the building.

**Question 7.** From a point on the ground, the angles of elevation of the bottom and the top of a
transmission tower fixed at the top of a 20 m high building are 45Â° and 60Â° respectively.
Find the height of the tower.

**Question 8.** A statue, 1.6 m tall, stands on the top of a pedestal. From a point on the ground, the
angle of elevation of the top of the statue is 60Â° and from the same point the angle of
elevation of the top of the pedestal is 45Â°. Find the height of the pedestal.

**Question 9.** The angle of elevation of the top of a building from the foot of the tower is 30Â° and the
angle of elevation of the top of the tower from the foot of the building is 60Â°. If the tower
is 50 m high, find the height of the building.

**Question 10.** Two poles of equal heights are standing opposite each other on either side of the road,
which is 80 m wide. From a point between them on the road, the angles of elevation of
the top of the poles are 60Â° and 30Â°, respectively. Find the height of the poles and the
distances of the point from the poles.

**Question 11.** A TV tower stands vertically on a bank
of a canal. From a point on the other
bank directly opposite the tower, the
angle of elevation of the top of the
tower is 60Â°. From another point 20 m
away from this point on the line joing
this point to the foot of the tower, the
angle of elevation of the top of the
tower is 30Â° (see Fig. 9.12). Find the
height of the tower and the width of
the canal.

**Question 12.** From the top of a 7 m high building, the angle of elevation of the top of a cable tower is
60Â° and the angle of depression of its foot is 45Â°. Determine the height of the tower.

**Question 13.** As observed from the top of a 75 m high lighthouse from the sea-level, the angles of
depression of two ships are 30Â° and 45Â°. If one ship is exactly behind the other on the
same side of the lighthouse, find the distance between the two ships.

**Question 14.** A 1.2 m tall girl spots a balloon moving
with the wind in a horizontal line at a
height of 88.2 m from the ground. The
angle of elevation of the balloon from
the eyes of the girl at any instant is
60Â°. After some time, the angle of
elevation reduces to 30Â° (see Fig. 9.13).
Find the distance travelled by the
balloon during the interval.

**Question 15.** A straight highway leads to the foot of a tower. A man standing at the top of the tower
observes a car at an angle of depression of 30Â°, which is approaching the foot of the
tower with a uniform speed. Six seconds later, the angle of depression of the car is found
to be 60Â°. Find the time taken by the car to reach the foot of the tower from this point.

**Question 16.** The angles of elevation of the top of a tower from two points at a distance of 4 m and
9 m from the base of the tower and in the same straight line with it are complementary.
Prove that the height of the tower is 6 m.

Please send your queries to ncerthelp@gmail.com you can aslo visit our facebook page to get quick help. Link of our facebook page is given in sidebar

- Chapter 3 Pair of Linear Equations In Two Variables
- Chapter 4 Quadratic Equations
- Chapter 7 Coordinate Geometry
- Chapter 8 Introduction To Trigonometry
- Chapter 11 Constructions
- Chapter 9 Some Applications of Trigonometry
- chapter 10 Circles
- Chapter 12 Areas Related To Circles
- Chapter 13 Surface Areas and Volumes
- Chapter 14 Statistics
- Chapter 15 Probability
- Chapter 5 Arithmetic Progressions

- NCERT Solutions for Class 9 Science Maths Hindi English Math
- NCERT Solutions for Class 10 Maths Science English Hindi SST
- Class 11 Maths Ncert Solutions Biology Chemistry English Physics
- Class 12 Maths Ncert Solutions Chemistry Biology Physics pdf

- Class 1 Model Test Papers Download in pdf
- Class 5 Model Test Papers Download in pdf
- Class 6 Model Test Papers Download in pdf
- Class 7 Model Test Papers Download in pdf
- Class 8 Model Test Papers Download in pdf
- Class 9 Model Test Papers Download in pdf
- Class 10 Model Test Papers Download in pdf
- Class 11 Model Test Papers Download in pdf
- Class 12 Model Test Papers Download in pdf

Copyright @ ncerthelp.com A free educational website for CBSE, ICSE and UP board.