1. The ratio of the length of a tree and its shadow is 1 : √3. The angle of elevation of the Sun is .....
A) 30° B) 45° C) 60° D) 90°
Ans: A
2. The length of the string of a kite flying at 100 mts above the ground with the elevation of 60° is
A) 100 m B) 200/√3 m C) 200 m D) 100 √2 m
Ans: B
3. The ratio of the length of a rod and its shadow is √3 : 1, then the angle of elevation of the Sun is
A) 30° B) 45° C) 60° D) 90°
Ans: C
4. The angle of elevation of a rod and its shadow is 45°. Then the rod and its shadow are
A) Equal B) Unequal C) Different D) None
Ans: A
5. The angle of depression from the top of a tower 12 m high, at a point on the ground is 30°. The distance of the point from the top of the tower is
A) 12 m B) 24 m C) 12 √3 m D) 6 m
Ans: B
6. The top of two poles of height 16 m & 10 m are connected by a wire of length ‘l’ meters, if the wire makes an angle of 30° with the horizontal then l =
A) 26 m B) 16 m C) 12 m D) 10 m
Ans: C
7. A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, then the length of the ladder is
A) 4/ √3m B) 4 √3 m C) 4 m D) 2√2 m
Ans: C
8. From the figure h =
A) ab B) a2b2 C) √ab D) ab/2
Ans: C
9. In a triangle XYZ, if XY = 15 cm, YZ = 15√3 cm then θ =
A) 60° B) 45° C) 30° D) 50°
Ans: C
10. The length of the shadow of a tower is equal to its height then the angle of elevation of the Sun is
A) 45° B) 60° C) 30° D) 90°
Ans: A
11. The length of shadow of a tower on the plane ground is times the height of the tower. The angle of elevation of sun is
A) 45° B) 30° C) 60° D) 90°
Ans: B
12. The angle of depression of a car, standing on the ground, from the top of a 75 m tower is 30°. The distance of the car from the base of the tower is ...... m.
A) 25 B) 50 C) 75 D) 150
Ans: A
13. 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 ....... m.
A) 15 D) 15
Ans: C
14. The angle of depression of a car parked on the road from the top of a 150 m high tower is 30°. The distance of the car from the tower is ........ m.
A) 50 B) 150 C) 150 D) 75
Ans: A
15. If the height of a vertical pole is times the length of its shadow on the ground, then the angle of elevation of the sun at that time is
A) 30° B) 75° C) 45° D) 60°
Ans: D
16. The angle of elevation of the top of a tower at a point on the ground 50 m away from the foot of the tower is 45°. Then the height of the tower is ....... m.
A) 50 B) 50
Ans: B
17. A ladder makes an angle of 60° with the ground when placed against a wall. If the ladder is 2 m away from the wall, then the length of the ladder is ...... m.
A) B) 4 C) 2 D) 4
Ans: D
18. The ratio of the length of a rod and its shadow is 1 : . The angle of elevation of the sum is
A) 30° B) 45° C) 60° D) 90°
Ans: A
19. The angle of elevation of a tower from a distance of 100 m from its foot is 60°. Then the height of the tower is ...... m.
Ans: B
20. If the altitude of the sun is at 60°, then the height of the vertical tower that will cast a shadow of length 30 m is.... m.
A) 30 B) 15 C) D) 15
Ans: A.