CBSE Class 10 Mathematics Chapter 9 Some Applications of Trigonometry Multiple Choice Questions with Answers. MCQ Class 10 Maths Some Applications of Trigonometry with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Some Applications of Trigonometry MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 6
Question 1:
If the angles of elevation of the top of a tower from two points at the distance of 3 m and 12 m from the base of tower and in the same straight line with it are complementary, then the height of the tower (in m) is:
(a) 36
(b) 60
(c) 6
(d) 100
Correct Answer – (C)
Question 2 :
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°
Correct Answer – (C)
Question 3 :
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
Correct Answer – (D)
Question 4 :
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°
Correct Answer – (C)
Question 5 :
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
Correct Answer – (C)
Question 6 :
The angle of elevation of the top of a tower from a point P on the ground is α. After walking α distance d towards the foot of the tower, angle of elevation is found to be β. Then
(a) α < β
(b) α > β
(c) α = β
(d) None of these
Correct Answer – (A)
Question 7 :
A 6 feet tall man finds that the angle of elevation of a 24 feet high pillar and the angle of depression of its base are complementary angles. The distance of man from the pillar is:
(a) 4√3 feet
(b) 6√3 feet
(c) 8√3 feet
(d) 10√3 feet
Correct Answer – (B)
Question 8 :
A man standing at a height 6 m observes the top of a tower and the foot of tower at angles of 45° and 30° of elevation and depression respectively. The height of tower is:
(a) 6√3 m
(b) 12 m
(c) 6(√3 – 1)
(d) 6(√3 + 1) m
Correct Answer – (D)
Question 9 :
A man at the top of a 100 m high tower sees a car moving towards the tower at an angle of depression of 30°. After some time, the angle of depression becomes 60°. The distance travelled by the car during this time interval is:
(a) 10√3 m
(b) 100√3/3 m
(c) 200√3/3 m
(d) 200√3 m
Correct Answer – (C)
Question 10 :
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 here 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°
