Prepare for SBI Bank exams with these simple height and distance related questions. These solved examples will help in preparing for SBI Bank Exams.

1. From the foot and the top of a building of height 230 m, a person observes the top of a tower with angles of elevation of b and a respectively. What is the distance between the top of these buildings if tan a = 5/12 and tan b = 4/5

A. 400 m B. 250 m

C. 600 m D. 650 m

2. 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

3. 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

4. The angle of elevation of the top of the tower from a point on the ground is sin−1(3/5). If the point of observation is 20 meters away from the foot of the tower, what is the height of the tower?

A. 9 m B. 18 m

C. 15 m D. 12 m

5. 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

6. On the same side of a tower, two objects are located. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 600 m, the distance between the objects is approximately equal to :

A. 272 m B. 284 m

C. 288 m D. 254 m

7. 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

8. The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is:

A. 64.2 m B. 62.2 m

C. 52.2 m D. 54.6 m

9. 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

10. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 45º. What is the distance between the base of the tower and the point P?

A. 9 units B. 3√3 units

C. Data inadequate D. 12 units

1. D 2. C 3. D 4. C 5. B

6. D 7. C 8. D 9. D 10. C

1. From the foot and the top of a building of height 230 m, a person observes the top of a tower with angles of elevation of b and a respectively. What is the distance between the top of these buildings if tan a = 5/12 and tan b = 4/5

A. 400 m B. 250 m

C. 600 m D. 650 m

2. 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

3. 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

4. The angle of elevation of the top of the tower from a point on the ground is sin−1(3/5). If the point of observation is 20 meters away from the foot of the tower, what is the height of the tower?

A. 9 m B. 18 m

C. 15 m D. 12 m

5. 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

6. On the same side of a tower, two objects are located. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 600 m, the distance between the objects is approximately equal to :

A. 272 m B. 284 m

C. 288 m D. 254 m

7. 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

8. The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is:

A. 64.2 m B. 62.2 m

C. 52.2 m D. 54.6 m

9. 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

10. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 45º. What is the distance between the base of the tower and the point P?

A. 9 units B. 3√3 units

C. Data inadequate D. 12 units

**Answers :**1. D 2. C 3. D 4. C 5. B

6. D 7. C 8. D 9. D 10. C

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