**MCQs Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. Now-a-days, a total of 10 MCQs questions are asked in the class 10 board examination.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQs questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

**MCQs Questions for Class 10
Maths Chapter 9 Some Applications of Trigonometry**

**1.** The
angle of elevation of the top of a tower is 30°. If the height of the tower is
doubled, then the angle of elevation of its top will

(A)
also get doubled

(B)
will get halved

(C)
will be less than 60
degree

(D) None of these

**Answer: C**

**2.** At some time of the day, the
length of the shadow of a tower is equal to its height. Then, the sun’s
altitude at that time is:

(A) 30°

(B) 60°

(C) 90°

(D) 45°

**Answer: ****D**

**3. **If at some time, the length
of the shadow of a tower is √3 times its height, then the angle of elevation of
the sun, at that time is:

(A) 15°

(B) 30°

(C) 45°

(D) 60°

**Answer: ****B**

**4.** If
the height of a tower and the distance of the point of observation from its
foot, both, are increased by 10%, then the angle of elevation of its top

(A)
increases

(B)
decreases

(C)
remains
unchanged

(D) have no relation.

**Answer: C**

**5. **The angle of elevation of top
of a tower from a point on the ground, which is 30 m away from the foot of the
tower is 30°. The length of the tower is

(A) √3 m

(B) 2√3 m

(C) 5√3m

(D) 10√3 m

**Answer: D**

**6. **A person is flying a kite at
a height of 30 m from the horizontal level. The length of string from the kite
to the person is 60 m. Assuming that there is no slack in the string, the angle
of elevation of kite to the horizontal level is:

(A) 45°

(B) 30°

(C) 60°

(D) 90°

**Answer: B**

**7.** A
ladder, 15 metres long, just reaches the top of a vertical wall. If the ladder
makes an angle of 60° with the wall, then the height of the wall will be

(A)
7.5 m

(B)
7.7 m

(C)
8.5 m

(D) 8.8 m

**Answer: A**

**8. **A plane is observed to be
approaching the airport. It is at a distance of 12 km from the point of
observation and makes an angle of elevation of 60°. The height above the ground
of the plane is

(A) 6√3 m

(B) 4√3 m

(C) 3√3 m

(D) 2√3 m

**Answer: A**

**9. **The angle of depression of a
car, standing on the ground, from the top of a 75 m high tower is 30°. The
distance of the car from the base of tower (in m) is:

(A) 25√3

(B) 50√3

(C) 75√3

(D) 150

**Answer: C**

**10.** An
observer, 1.5 metres tall, is 20.5 metres away from a tower 22 metres high. Determine
the angle of elevation of the top of the tower from the eye of the observer. (A)30°

(B)
45°

(C) 60°

(D) 90°

**Answer:
B**

**11. **The upper part of a tree is
broken by the wind and makes an angle of 30° with the ground. The distance from
the foot of the tree to the point where the top touches the ground is 5 m. The
height of the tree is

(A) 10√33 m

(B) 5√33 m

(C) √3 m

(D) √3/5 m

**Answer:
B**

**12. **The angle of elevation of the
top of a 15 m high tower at a point 15 m away from the base of tower is:

(A) 30°

(B) 60°

(C) 45°

(D) 75°

**Answer: C**

**13.** The
shadow of a tower standing on a plane is found to be 50 m longer when Sun’s
elevation is 30° than when it is 60°. Then the height of tower is:

(A)
20√3

(B)
25√3

(C)
10√3

(D) 30√3

**Answer: B**

**14. **The angles of elevation of
the top of a rock from the top and foot of 100 m high tower are respectively
30° and 45°. The height of the rock is

(A) 50 m

(B) 150 m

(C) 5o√3m

(D) 50(3 + √3)

**Answer: D**

**15. **Two poles are 25 m and 15 m
high and the line joining their tops makes an angle of 45° with the horizontal.
The distance between these poles is:

(A) 5 m

(B) 8 m

(C) 9 m

(D) 10 m

**Answer: D**

**16.** If
a pole 6 m high casts a shadow 2√3 m long on the ground, then the sun’s
elevation is

(A)
60°^{ }

(B)
45°

(C)
30°

(D) 90°

**Answer: A**

**17. **The tops of two poles of
height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30°
with horizontal, the length of the wire is

(A) 6 m

(B) 10 m

(C) 12 m

(D) 20 m

**Answer: C**

**18. **A lamp post 5√3 m high casts
a shadow 5 m long on the ground. The sun’s elevation at this point is:

(A) 30°

(B) 45°

(C) 60°

(D) 90°

**Answer: C**

**19. **The
angle of elevation of the top of a vertical tower from a point on the ground is
60°. From another point 10 m vertically above the first, its angle of elevation
is 45°. Find the height of the tower.

(A)
5 (√3 + 3)
m

(B)
(√3 +3) m

(C)
15 (√3 +3) m

(D) 5√3 m

**Answer: A**