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

Subject: Height and Distance 1

**Part 1: 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 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

**Q2. 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

**Q3. 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

**Q4. 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°

**Q5. An observer 2 m tall is 10*(cube root of 3) 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

**Q6. The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 12.4 m away from the wall. The length of the ladder is:**

a) 14.8 m

b) 6.2 m

c) 12.4 m

d) 24.8 m

**Q7. 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

**Q8. 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) 103.8m

d) 94.6 m

**Q9. From the top of a hill 100 m high, the angles of depression of the top and bottom of a pole are 30° and 60° respectively. What is the height of the pole?**

a) 52 m

b) 50 m

c) 66.67 m

d) 33.33 m

**Q10. 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

**Q11. The elevation of the summit of a mountain from its foot is 45°. After ascending 2 km towards the mountain upon an incline of 30°,the elevation changes to 60°. What is the approximate height of the mountain?**

a) 1.2 km

b) 0.6 km

c) 1.4 km

d) 2.7 km

**Q12. 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

**Q13. 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

**Q14. Two boats are spotted on the two sides of a light house. If the angle of depression made by both the boats from top of the lighthouse is 30° and 45° and the height of the light house is 125 m then find the distance between the two boats**

a) 1

b) 188.56 m

c) 250 m

d) 197.17 m

**Q15. 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

**Q16. Jack takes 20 minutes to jog around the race course one time, and 25 minutes to jog around a second time. What is his average speed in miles per hour for the whole jog if the course is 3 miles long?**

a) 6

b) 8

c) 9

d) 10

**Q17. An observer 1.6 m tall is 20 root of 3 m away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is :**

a) 21.6 m

b) 23.2 m

c) 24.72 m

d) None of these

**Q18. The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is :**

a) 2.3m

b) 4.6m

c) 7.8m

d) 9.2m

**Q19. From a point P on a level ground, the angle of elevation of the top of a tower is 30°. 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) 200m

**Q20. The angle of elevation of the sun, when the length of the shadow of a tree is root of 3 times the height of the tree, is :**

a) 30 degree

b) 45 degree

c) 60 degree

d) 90 degree

**Part 1: List for questions and answers of Height & Distance**

Q1. Answer: c

Q2. Answer: d

Q3. Answer:

Q4. Answer: c

Q5. Answer: b

Q6. Answer: d

Q7. Answer: b

Q8. Answer: d

Q9. Answer: c

Q10. Answer: b

Q11. Answer: d

Q12. Answer: c

Q13. Answer: a

Q14. Answer: d

Q15. Answer: d

Q16. Answer: b

Q17. Answer: a

Q18. Answer: d

Q19. Answer: c

Q20. Answer: a