Height and Distance Test 4

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Online Aptitude Tests: Height and Distance Test 4 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. From a point on the ground, the angle of elevation of a hot air balloon is 30 degrees. If the balloon is 150 meters above the ground, what is the horizontal distance from the point to the balloon?
  1. 150√3 meters
  2. 150 meters
  3. 75 meters
  4. 75√3 meters
2. The shadow of a tower is 20 meters when the angle of elevation of the sun is 45 degrees. What is the height of the tower?
  1. 10 meters
  2. 10√2 meters
  3. 20 meters
  4. 20√2 meters
3. A man on top of a cliff observes a boat at an angle of depression of 60 degrees. If the cliff is 90 meters high, what is the horizontal distance between the boat and the base of the cliff?
  1. 45 meters
  2. 90 meters
  3. 45√3 meters
  4. 90√3 meters
4. A man is standing on the ground 60 meters away from the base of a tree. He looks up at an angle of 45 degrees to see the top of the tree. What is the height of the tree?
  1. 30 meters
  2. 60 meters
  3. 30√2 meters
  4. 60√2 meters
5. The angle of elevation of the top of a building from a point 70 meters away from its base is 30 degrees. What is the height of the building?
  1. 70√3 meters
  2. 35 meters
  3. 35√3 meters
  4. 70 meters
6. The angle of elevation of a kite from a point on the ground is 45 degrees. If the string of the kite is 100 meters long and is making an angle of 30 degrees with the horizontal, how high is the kite from the ground?
  1. 50 meters
  2. 50√2 meters
  3. 50√3 meters
  4. 100 meters
7. From the top of a 100 meter high building, the angle of depression to a car on the ground is 45 degrees. What is the horizontal distance from the building to the car?
  1. 100√2 meters
  2. 50 meters
  3. 100 meters
  4. 50√2 meters
8. The angle of elevation to the top of a tree from a point 30 meters away from its base is 30 degrees. What is the height of the tree?
  1. 30√3 meters
  2. 30/√3 meters
  3. 60 meters
  4. 15 meters
9. A man observes the top of a hill at an angle of elevation of 35 degrees. After walking 200 meters closer to the hill, the angle of elevation becomes 50 degrees. What is the height of the hill?
  1. 200 meters
  2. 200√3 meters
  3. 100 meters
  4. 200/√3 meters
10. A ladder is leaning against a wall making an angle of 60 degrees with the ground. If the length of the ladder is 10 meters, what is the height at which the ladder touches the wall?
  1. 10√3/2 meters
  2. 10 meters
  3. 5√3 meters
  4. 5 meters
11. The angle of elevation of the top of a building from a point on the ground is 60 degrees. If the point is 40 meters away from the building, what is the height of the building?
  1. 20 meters
  2. 40√3 meters
  3. 40 meters
  4. 20√3 meters
12. A man on top of a tower observes a boat at an angle of depression of 45 degrees. If the tower is 80 meters high, how far is the boat from the base of the tower?
  1. 40 meters
  2. 80√2 meters
  3. 80 meters
  4. 40√2 meters
13. The angle of elevation to the top of a pole from a point 50 meters away from its base is 53 degrees. What is the height of the pole?
  1. 50√3/2 meters
  2. 25 meters
  3. 50 meters
  4. 25√3 meters
14. A man observes the top of a tower at an angle of elevation of 35 degrees. After walking 100 meters towards the tower, the angle of elevation becomes 55 degrees. What is the height of the tower?
  1. 100 meters
  2. 100√3 meters
  3. 50 meters
  4. 50√3 meters
15. A ladder 15 meters long is placed against a wall. If the foot of the ladder is 9 meters away from the wall, at what height does the ladder touch the wall?
  1. 12 meters
  2. 15 meters
  3. 9 meters
  4. 6 meters
16. The angle of elevation of an airplane from a point on the ground is 30 degrees. If the airplane is flying at a height of 600 meters, what is the horizontal distance from the point to the airplane?
  1. 600√3 meters
  2. 600 meters
  3. 300 meters
  4. 300√3 meters
17. A man observes a building and finds that the angle of elevation to the top of the building is 50 degrees. After moving 20 meters closer to the building, the angle of elevation is 60 degrees. What is the height of the building?
  1. 20√3 meters
  2. 20 meters
  3. 10 meters
  4. 10√3 meters
18. A tree casts a shadow 15 meters long when the angle of elevation of the sun is 30 degrees. What is the height of the tree?
  1. 15√3 meters
  2. 15 meters
  3. 7.5 meters
  4. 7.5√3 meters
19. A ladder leaning against a wall makes an angle of 75 degrees with the ground. If the ladder is 10 meters long, how high does the ladder reach on the wall?
  1. 5 meters
  2. 5√3 meters
  3. 10√3/2 meters
  4. 10 meters
20. The angle of depression from a lighthouse to a boat is 60 degrees. If the height of the lighthouse is 50 meters, what is the distance of the boat from the base of the lighthouse?
  1. 50√2 meters
  2. 50√3 meters
  3. 25 meters
  4. 25√3 meters

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