Height and Distance Test 1 – Aptitude Test

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Online Height and Distance 1 – Aptitude Test 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 the top of a tower from a point 50 meters away from its base is 30 degrees. What is the height of the tower?
  1. 25√3 meters
  2. 25 meters
  3. 50 meters
  4. 50√3 meters
2. From a point on the ground, the angle of elevation of the top of a tree is 45 degrees. If the tree is 10 meters high, what is the distance of the point from the tree?
  1. 10 meters
  2. 5 meters
  3. 10√2 meters
  4. 5√2 meters
3. A man standing on the deck of a ship observes the angle of elevation of the top of a lighthouse as 30 degrees. If the height of the lighthouse is 15 meters, how far is the ship from the lighthouse?
  1. 15√3 meters
  2. 15 meters
  3. 30 meters
  4. 30√3 meters
4. The angle of elevation of the top of a building from a point 20 meters away from its base is 60 degrees. What is the height of the building?
  1. 20√3 meters
  2. 20 meters
  3. 40 meters
  4. 40√3 meters
5. From the top of a hill, the angle of depression of a rock on the ground is 45 degrees. If the hill is 100 meters high, what is the distance between the rock and the top of the hill?
  1. 100 meters
  2. 100√2 meters
  3. 50 meters
  4. 50√2 meters
6. The angle of elevation of the top of a cliff from a point 100 meters away from its base is 45 degrees. What is the height of the cliff?
  1. 100 meters
  2. 100 meters√2
  3. 100√2 meters
  4. 200 meters
7. A ladder 10 meters long touches a wall at a height of 8 meters. What is the distance of the foot of the ladder from the wall?
  1. 6 meters
  2. 6√3 meters
  3. 4 meters
  4. 4√3 meters
8. The angle of elevation of the top of a flagpole from a point on the ground is 60 degrees. If the height of the flagpole is 10 meters, what is the distance between the point and the foot of the flagpole?
  1. 10 meters
  2. 10√3 meters
  3. 5 meters
  4. 5√3 meters
9. The angle of elevation of the top of a building from a point on the ground is 30 degrees. If the height of the building is 50 meters, what is the distance between the point and the base of the building?
  1. 25 meters
  2. 50 meters
  3. 50√3 meters
  4. 25√3 meters
10. From a point on the ground, the angle of elevation of the top of a flagpole is 45 degrees. If the height of the flagpole is 20 meters, what is the distance of the point from the flagpole?
  1. 20 meters
  2. 20√2 meters
  3. 10 meters
  4. 10√2 meters
11. A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank is 60 degrees. If the height of the tree is 30 meters, what is the width of the river?
  1. 30 meters
  2. 30√3 meters
  3. 60 meters
  4. 60√3 meters
12. The angle of elevation of the top of a tower from a point 40 meters away from its base is 45 degrees. What is the height of the tower?
  1. 20 meters
  2. 20√2 meters
  3. 40 meters
  4. 40√2 meters
13. The angle of depression of a point on the ground from the top of a tower is 30 degrees. If the tower is 50 meters high, what is the distance between the point and the tower?
  1. 25 meters
  2. 50 meters
  3. 50√3 meters
  4. 25√3 meters
14. The angle of elevation of the top of a building from a point 30 meters away from its base is 60 degrees. What is the height of the building?
  1. 30 meters
  2. 60 meters
  3. 30√3 meters
  4. 60√3 meters
15. A ladder 15 meters long reaches a window 12 meters above the ground. What is the distance of the foot of the ladder from the wall?
  1. 9 meters
  2. 9√3 meters
  3. 3 meters
  4. 3√3 meters
16. The angle of elevation of the top of a building from a point on the ground is 45 degrees. If the height of the building is 40 meters, what is the distance between the point and the base of the building?
  1. 20 meters
  2. 40 meters
  3. 40√2 meters
  4. 20√2 meters
17. From the top of a building 30 meters high, the angle of depression of the top and the foot of a flagpole is found to be 45 degrees and 60 degrees respectively. What is the height of the flagpole?
  1. 30 meters
  2. 15 meters
  3. 30√3 meters
  4. 15√3 meters
18. A tree casts a shadow 10 meters long. The angle of elevation of the top of the tree is 60 degrees. What is the height of the tree?
  1. 10√3 meters
  2. 5 meters
  3. 10 meters
  4. 5√3 meters
19. The angle of elevation of the top of a tower at a point 60 meters from its base is 30 degrees. What is the height of the tower?
  1. 30 meters
  2. 30√3 meters
  3. 60 meters
  4. 60√3 meters
20. A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank is 45 degrees. If the height of the tree is 20 meters, what is the width of the river?
  1. 20√2 meters
  2. 10 meters
  3. 10√2 meters
  4. 20 meters

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