Class 10 Maths Chapter 9 Some Applications of Trigonometry MCQ
1. From a point on the ground, which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°. The height of the tower (in m) standing straight is:
2. The line drawn from the eye of an observer to the point in the object viewed by the observer is said to be
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:
4. The angle of elevation of the top of a tower from a point on the ground 30 m away from the foot is 30°. The height of the tower is:
5. 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:
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 here is no slack in the string, the angle of elevation of kite to the horizontal level is:
7. 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:
8. The line drawn from the eye of an observer to the point in the object viewed by the observer is said to be7. 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:
9. 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:
10. 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:
11. The height or length of an object or the distance between two distant objects can be determined with the help of:
12. A lamp post 5√3 m high casts a shadow 5 m long on the grounD. The sun’s elevation at this point is:
13. 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
14. 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:
15. A ladder makes an angle of 60° with the ground, when placed along a wall. If the foot of ladder is 8 m away from the wall, the length of ladder is:
16. If the height and length of a shadow of a man are the same, then the angle of elevation of sun is:
17. A bridge, in the shape of a straight path across a river, makes an angle of 60° with the width of the river. If the length of the bridge is 100 m, then the width of the river is:
18. The angle of elevation of the top of a tower from a point on the ground 30 m away from the foot is 30°. The height of the tower is:
19. The angle of elevation of the top of a building from a point on the ground, which is 30 m away from the foot of the building, is 30°. The height of the building is:
20. If the height of the building and distance from the building foot’s to a point is increased by 20%, then the angle of elevation on the top of the building:
21. The angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level is called:
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