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 - 5
Question 1:
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°
Correct Answer – (D)
Question 2 :
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°
Correct Answer – (B)
Question 3 :
An observer 1.5m tall is 23.5m away from a tower 25m high. The angle of elevation of the top of the tower from the eye of the observer is
(a) 30°
(b) 45°
(c) 60°
(d) none of these
Correct Answer – (B)
Question 4 :
The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is:
(a) 45°
(b) 60°
(c) 30°
(d) None of these
Correct Answer – (A)
Question 5 :
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. If the angle made by the rope with the ground level is 30°, then the height of the pole is
(a) 10m
(b) 20m
(c) 10√3m
(d) 20√3m
Correct Answer – (A)
Question 6 :
A ladder 15 m 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 is:
(a) 15√3 m
(b) 15√3/2 m
(c) 15/2 m
(d) 15 m
Correct Answer – (C)
Question 7 :
The shadow of a tower is equal to its height at 10-45 a.m. The sun’s altitude is
(a) 30°
(b) 45°
(c) 60°
(d) 90°
Correct Answer – (B)
Question 8 :
A tower stands vertically on the ground. From a point on the ground 30 m away from the foot of the tower, the angle of elevation of the top of the tower is 45o. The height of the tower will be
(a) 30√3 m
(b) 40√3 m
(c) 30 m
(d) 40 m
Correct Answer – (C)
Question 9 :
If the angle of depression of an object from a 75m high tower is 30°, then the distance of the object from the tower is
(a) 50√3m
(b) 25√3m
(c) 75√3m
(d) 100√3m
Correct Answer – (C)
Question 10 :
A circus artist is climbing a long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. The ratio of the height of the pole to the length of the string is 1 :√2. The angle made by the rope with the ground level is
(a) 30°
(b) 45°
(c) 60°
(d) none of these
