Height and Distance
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Height and Distance
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25 Questions

1. Two ships are sailing in the sea on the two sides of a building. The angle of elevation of the top of the building is observed from the ships are 30º and 45º respectively. If the building is 100 m high, the distance between the two ships is:
2. From the foot and the top of a building of height 230 m, Rajat observes the top of a tower with angles of elevation of b and a respectively. What is the distance between the top of these buildings [if tan(a) = 5/12 and tan(b) = 4/5]
3. A bridge pillar is supported by two rods with ground at 15 m away, at the heights in the ratio 1:9 If the angle made by first rod with ground be equal to the angle made by second rod with first rod be equal what is the actual height of the pole?
4. The heights of two towers are 90 meters and 45 meters. The line joining their tops make an angle 450 with the horizontal then the distance between the two towers is
5. From the top of a hill 100 m high, the angles of depression of the top and bottom of a pole are 30° and 60° respectively. What is the height of the pole?
6. Karan saw that the angle of elevation of the top of a tower is 30°. On moving 20 meters nearer, he observes that angle of elevation is 60°.Then the height of the tower is
7. From The top of a 90 m high building, the angles of top and bottom of another building is 30° and 60°. What is the height of another building?
8. Two persons are on either sides of a tower of height 50 m. The persons observers the top of the tower at an angle of elevation of 30° and 60°. If a car crosses these two persons in 1. seconds, what is the speed of the car?
9. Ankita standing on the top of a building observes two objects. She observes that their angles of depression are 45° and 60° respectively. If the height of the building is 600 m, the distance between the objects will be equal to :
10. A man in a car is moving away from a hil (180 meters high), take 90 seconds to change angle of elevation of the top of the hil from 45° to 60°.The speed of the car is:
11. Chandana standing on top of a hil observes that angle of depression of Ruby and Shikha are 45°and 30° while they are moving away from the hil if Ruby and Shikh are 200 m away,Find the height of hil .
12. Abhishek flying a kite at 12 noon with and observe that the shadow of kite is just 3m away from him then length of string is:
13. The angle of elevation of a ladder leaning against a wal is 60° and the foot of the ladder is 7.5 m away from the wal . The length of the ladder is:
14. Abhilash observes from the top of a 15 metre high tower that it makes an angle of elevation of 60° with the bottom of an electronic pole and angle of elevation of 30° with the top of the same pole. What is the height of the electric pole?
15. From a tower of 80 m high, the angle of depression of a bus is 30°. How far is the bus from the tower?
16. Two vertical poles are 200 m apart and the height of one is double that of the other. From the middle point of the line joining their feet, an observer finds the angular elevations of their tops to be complementary. Find the heights of the smaller pole.
17. Uttam and Vikrant standing opposite side of a 60 m high building, observes the angle of elevation of the top as 45° and 60° respectively. What is the distance between them?
18. From a point 375 meters away from the foot of a tower, the top of the tower is observed at an angle of elevation of 45°, then the height (in meters) of the tower is?
19. A vertical pole fixed to the ground is divided in the ratio 1:3 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a place on the ground, 16 m away from the base of the pole, what is the height of the pole?
20. Arjun observes that a balloon rises vertically upward at uniform speed. At the end of 2minutes, He notices that elevation of the balloon is 60°. If he is standing at 150 m away from point balloon, what is the speed of the balloon?
21. The distance between two building is 90 m. The angle of depression trom the top of tal er building which is 180 m tal to the top of the second is is 450.Then the height of the second is:
22. From top of a tower Ankit is observing a car speeding away from the tower. The car makes the angle of depression of 60° with the man's eye when at a distance of 75 meters from the tower. After 10 seconds the angle of depression becomes 45°. What is the approximate speed of the car?
23. The angles of depression and elevation of the top of a wall 11 m high from top and bottom of a tree are 60° and 30° respectively. What is the height of the tree?
24. Sukanta standing on the top of a tower observes that a car is moving at a uniform speed coming directly towards it. If it takes 8 minutes for the angle of depression to change from 30° to 45°, in what time will the car reach the tower?
25. Two men are on opposite sides of a 50m high tower. If their angle of depression from the highest point of the tower as 30° and 45° respectively. Distance between them is:

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