Aptitude Preparation: Mock Test, IT Campus Placement, Aptitude Questions and Answers

Subject: Height and Distance 2

**Part 2: List for questions and answers of Height & Distance**

**Q1. From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 200 m high, the distance of point P from the foot of the tower is:**

a) 346 m

b) 400 m

c) 312 m

d) 298 m

**Q2. The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is:**

a) None of these

b) 60°

c) 45°

d) 30°

**Q3. An observer 2 m tall is 10√3103 m away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The height of the tower is:**

a) None of these

b) 12 m

c) 14 m

d) 10 m

**Q4. The top of a 15 metre high tower 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 pole. What is the height of the electric pole?**

a) 5 metres

b) 8 metres

c) 10 metres

d) 12 metres

**Q5. A ladder 10 m long just reaches the top of a wall and makes an angle of 60° with the wall.Find the distance of the foot of the ladder from the wall (√3=1.73)(3=1.73)**

a) 4.32 m

b) 17.3 m

c) 5 m

d) 8.65 m

**Q6. From a tower of 80 m high, the angle of depression of a bus is 30°. How far is the bus from the tower?**

a) 40 m

b) 138.4 m

c) 46.24 m

d) 160 m

**Q7. The angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45° and 60°. What is the distance between these two points?**

a) 45 m

b) 30 m

c) 103.8 m

d) 94.6 m

**Q8. 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?**

a) 22 m

b) 44 m

c) 33 m

d) None of these

**Q9. When the sun’s altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?**

a) 35 m

b) 140 m

c) 60.6 m

d) 20.2 m

**Q10. From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 100 m high, the distance of point P from the foot of the tower is:**

a) 149 m

b) 156 m

c) 173 m

d) 200 m

**Q11. The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:**

a) 2.3 m

b) 4.6 m

c) 7.8 m

d) 9.2 m

**Q12. The angle of elevation of the sun is 60°. Find the length of the shadow of a man who is 180 cm tall.**

a) 127.27 cm

b) 103.92 cm

c) 311.77 cm

d) None of these

**Q13. The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ?**

a) 42.2 mts

b) 33.45 mts

c) 66.6 mts

d) 58.78 mts

**Q14. What is the distance between a tower and an observer if the angle of elevation from the observer’s eye to the top of the tower (height = 50 m) is 30°? The observer is 1.5 m tall.**

a) 84

b) 28

c) 30

d) 90

**Q15. The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree is**

a) 30°

b) 45°

c) 60°

d) 90°

**Q16. If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.**

a) 30°

b) 45°

c) 60°

d) 90°

**Q17. The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:**

a) 30 degrees

b) 45 degrees

c) 60 degrees

d) 90 degrees

**Q18. If an object travels at five feet per second, how many feet does it travel in one hour?**

a) 30

b) 3000

c) 18

d) 1800

**Q19. The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ?**

a) 42.2 mts

b) 33.45 mts

c) 66.6 mts

d) 58.78 mts

**Q20. A ladder leaning against a wall makes an angle of 60° with the ground. If the length of the ladder is 19 m, find the distance of the foot of the ladder from the wall.**

a) 9.3 m

b) 9.4 m

c) 9.5 m

d) 9.6 m

**Part 2: List for questions and answers of Height & Distance**

Q1. Answer: a

Q2. Answer: c

Q3. Answer: b

Q4. Answer: c

Q5. Answer: d

Q6. Answer: b

Q7. Answer: d

Q8. Answer: b

Q9. Answer: c

Q10. Answer: c

Q11. Answer: d

Q12. Answer: b

Q13. Answer: c

Q14. Answer: a

Q15. Answer: a

Q16. Answer: d

Q17. Answer: a

Q18. Answer: d

Q19. Answer: c

Q20. Answer: c