Height and Distance Test 2

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Online Aptitude Tests: Height and Distance Test 2 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. A ladder 25 meters long leans against a wall. If the foot of the ladder is 15 meters away from the base of the wall, what is the height at which the ladder meets the wall?
  1. 20 meters
  2. 20√3 meters
  3. 15 meters
  4. 15√3 meters
2. The angle of elevation of the top of a tower from a point 100 meters away from its base is 60 degrees. What is the height of the tower?
  1. 50 meters
  2. 50√3 meters
  3. 100 meters
  4. 100√3 meters
3. A person standing on a cliff observes the angle of depression of a boat at sea level to be 45 degrees. If the cliff is 40 meters high, what is the distance between the boat and the foot of the cliff?
  1. 20 meters
  2. 20√2 meters
  3. 40 meters
  4. 40√2 meters
4. The angle of elevation of the top of a tree from a point on the ground is 30 degrees. If the tree casts a shadow of 10 meters, what is the height of the tree?
  1. 10 meters
  2. 10√3 meters
  3. 5 meters
  4. 5√3 meters
5. A tower casts a shadow 30 meters long. If the angle of elevation of the sun is 45 degrees, what is the height of the tower?
  1. 15 meters
  2. 15√3 meters
  3. 30 meters
  4. 30√3 meters
6. 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 50 meters, what is the distance between the point and the base of the building?
  1. 25 meters
  2. 25√3 meters
  3. 50 meters
  4. 50√3 meters
7. The angle of elevation of the top of a tower from a point 20 meters away from its base is 60 degrees. What is the height of the tower?
  1. 20 meters
  2. 40 meters
  3. 20√3 meters
  4. 40√3 meters
8. A flagpole casts a shadow 15 meters long. If the angle of elevation of the sun is 30 degrees, what is the height of the flagpole?
  1. 7.5 meters
  2. 7.5√3 meters
  3. 15 meters
  4. 15√3 meters
9. The angle of depression of a point on the ground from the top of a tower is 45 degrees. If the tower is 60 meters high, what is the distance between the point and the tower?
  1. 30 meters
  2. 30√2 meters
  3. 60 meters
  4. 60√2 meters
10. A person on a ship observes the angle of elevation of a lighthouse as 45 degrees. If the height of the lighthouse is 25 meters, how far is the ship from the lighthouse?
  1. 25 meters
  2. 25√2 meters
  3. 50 meters
  4. 50√2 meters
11. From the top of a building 40 meters high, the angle of depression of a point on the ground is 30 degrees. What is the distance between the top of the building and the point on the ground?
  1. 20 meters
  2. 20√3 meters
  3. 40 meters
  4. 40√3 meters
12. The angle of elevation of the top of a tree from a point on the ground is 60 degrees. If the tree is 10 meters high, what is the distance between the tree and the point?
  1. 10 meters
  2. 10√3 meters
  3. 5 meters
  4. 5√3 meters
13. A ladder 18 meters long leans against a wall. If the foot of the ladder slides 6 meters away from the wall, how much higher does the ladder reach on the wall?
  1. 6 meters
  2. 6√3 meters
  3. 12 meters
  4. 12√3 meters
14. The angle of elevation of the top of a tower from a point 30 meters away from its base is 45 degrees. What is the height of the tower?
  1. 15 meters
  2. 15√3 meters
  3. 30 meters
  4. 30√3 meters
15. The angle of elevation of the top of a hill from a point on the ground is 30 degrees. If the hill is 100 meters high, what is the distance between the point and the base of the hill?
  1. 50 meters
  2. 100 meters
  3. 50√3 meters
  4. 100√3 meters
16. A kite flyer lets out 100 meters of string. If the angle of elevation to the kite is 60 degrees, how high is the kite above the ground?
  1. 50 meters
  2. 50√3 meters
  3. 100 meters
  4. 100√3 meters
17. The angle of elevation of the top of a tree from a point on the ground is 45 degrees. If the tree is 20 meters high, how far is the point from the base of the tree?
  1. 20 meters
  2. 20√2 meters
  3. 40 meters
  4. 40√2 meters
18. A ladder is placed against a wall such that the foot of the ladder is 12 meters away from the wall. If the ladder reaches a height of 15 meters on the wall, what is the length of the ladder?
  1. 20 meters
  2. 18 meters
  3. 15 meters
  4. 9 meters
19. The angle of elevation of the top of a tower from a point 40 meters away from its base is 30 degrees. What is the height of the tower?
  1. 20 meters
  2. 20√3 meters
  3. 40 meters
  4. 40√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 60 degrees. If the height of the tree is 25 meters, what is the width of the river?
  1. 25 meters
  2. 25√3 meters
  3. 50 meters
  4. 50√3 meters

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