Height and Distance Test 3

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Online Aptitude Tests: Height and Distance Test 3 for different Competitive Exams, Entrance Tests & Job Interviews. Test yourself. Take various online tests and find out how well you score before appearing in your upcoming interviews and written tests.

Instructions

Welcome to our FREE online test. Beware of anyone asking for money to take this test.

Total questions: 20

Time limit: 30 minutes

Each question is worth 1 point, and there are no penalties for wrong answers.

DO NOT refresh the page.

Good luck!

Time remaining: 30:00
1. The angle of elevation of a cloud from a point 50 meters above a lake is 30 degrees. The angle of depression of the reflection of the cloud in the lake from the same point is 60 degrees. What is the height of the cloud above the lake?
  1. 150 meters
  2. 100 meters
  3. 200 meters
  4. 50 meters
2. A person standing 80 meters away from a tower observes that the angle of elevation to the top of the tower is 45 degrees. What is the height of the tower?
  1. 80√2 meters
  2. 80 meters
  3. 40√2 meters
  4. 40 meters
3. The angle of elevation of the top of a building from a point on the ground is 30 degrees. If the distance between the point and the base of the building is 100 meters, what is the height of the building?
  1. 50 meters
  2. 100 meters
  3. 100√3 meters
  4. 50√3 meters
4. A man observes the angle of elevation of the top of a mountain to be 30 degrees. He walks 500 meters towards the mountain and finds the angle of elevation to be 45 degrees. What is the height of the mountain?
  1. 500 meters
  2. 250√3 meters
  3. 250 meters
  4. 500√3 meters
5. A balloon is tied to a rope fixed at a point on the ground. If the length of the rope is 60 meters and the angle of elevation of the balloon from the point is 45 degrees, what is the height of the balloon?
  1. 60√2 meters
  2. 60 meters
  3. 30√2 meters
  4. 30 meters
6. A man stands on top of a hill and observes a tree at a distance. The angle of depression to the top of the tree is 30 degrees and to the base of the tree is 45 degrees. If the height of the hill is 50 meters, what is the height of the tree?
  1. 50 meters
  2. 25 meters
  3. 75 meters
  4. 100 meters
7. A helicopter is hovering at a height of 120 meters. If the angle of elevation from a point on the ground to the helicopter is 60 degrees, what is the horizontal distance from the point to the helicopter?
  1. 120√3 meters
  2. 60 meters
  3. 60√3 meters
  4. 120 meters
8. A tower is 50 meters high. If the angle of depression of a car from the top of the tower is 30 degrees, what is the distance of the car from the base of the tower?
  1. 25 meters
  2. 50√3 meters
  3. 100 meters
  4. 25√3 meters
9. The angle of elevation of a bird from a point 40 meters away from a tree is 45 degrees. If the bird is sitting at the top of the tree, what is the height of the tree?
  1. 20 meters
  2. 40√2 meters
  3. 20√2 meters
  4. 40 meters
10. A man observes the angle of elevation of the top of a lamp post to be 45 degrees. If he walks 10 meters closer to the lamp post, the angle of elevation becomes 60 degrees. What is the height of the lamp post?
  1. 10 meters
  2. 10√3 meters
  3. 20 meters
  4. 20√3 meters
11. From a point on the ground, the angle of elevation of the top of a building is 50 degrees. If the point is 60 meters away from the building, what is the height of the building?
  1. 60√3 meters
  2. 60 meters
  3. 30 meters
  4. 30√3 meters
12. A person standing on a hill observes the angle of depression of a car parked at the base of the hill to be 20 degrees. If the height of the hill is 50 meters, how far is the car from the base of the hill?
  1. 50√3 meters
  2. 50 meters
  3. 25 meters
  4. 25√3 meters
13. The angle of elevation of the top of a flagpole from a point 40 meters away from its base is 25 degrees. What is the height of the flagpole?
  1. 40 meters
  2. 20 meters
  3. 20√3 meters
  4. 40√3 meters
14. A person is standing 100 meters away from a tower. The angle of elevation to the top of the tower is 40 degrees. What is the height of the tower?
  1. 100√3 meters
  2. 100 meters
  3. 50 meters
  4. 50√3 meters
15. From a point 50 meters away from the base of a lighthouse, the angle of elevation to the top of the lighthouse is 35 degrees. What is the height of the lighthouse?
  1. 25 meters
  2. 25√3 meters
  3. 50 meters
  4. 50√3 meters
16. The angle of elevation from a point on the ground to the top of a tower is 40 degrees. If the height of the tower is 30 meters, how far is the point from the base of the tower?
  1. 20 meters
  2. 30√3 meters
  3. 30 meters
  4. 20√3 meters
17. A man observes the top of a hill at an angle of elevation of 45 degrees. After walking 100 meters towards the hill, the angle of elevation becomes 60 degrees. What is the height of the hill?
  1. 100√3 meters
  2. 100 meters
  3. 50 meters
  4. 50√3 meters
18. A tree is broken at a height of 10 meters from the ground and its top touches the ground at a distance of 10 meters from the base of the tree. What is the height of the tree?
  1. 20 meters
  2. 10√3 meters
  3. 10 + 10√2 meters
  4. 10 meters
19. A ladder 13 meters long is placed against a wall. If the foot of the ladder is 5 meters away from the wall, at what height does the ladder touch the wall?
  1. 10 meters
  2. 12 meters
  3. 15 meters
  4. 5 meters
20. The angle of depression of a car from the top of a building is 30 degrees. If the height of the building is 45 meters, what is the distance of the car from the base of the building?
  1. 45√3 meters
  2. 90 meters
  3. 45 meters
  4. 30 meters

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