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**Aptitude Quizzes**

Height and Distance Quiz 3

Total Questions: 20

Time: 30 minutes

1 / 20

*Category:* **Height and Distance Questions**

A man 1.5 meter tall is 30√3 meter away from a building. When he sees the top of building the angle of elevation is 30°. Find the height of the building?

2 / 20

*Category:* **Height and Distance Questions**

The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. The height of the tower is

3 / 20

*Category:* **Height and Distance Questions**

A ladder is leaning against a wall. It makes a 60° angle with the wall. If the distance between foot of ladder and wall is 5.5 meters, find the length of the ladder.

4 / 20

*Category:* **Height and Distance Questions**

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

5 / 20

*Category:* **Height and Distance Questions**

A storm breaks a tree. The broken part of tree bends so that the top of the tree touches the ground and makes an angle of 60° with the horizontal plane. If the distance between the base of the tree and the point where top of tree touches the ground is 10 m, find the height of the tree?

6 / 20

*Category:* **Height and Distance Questions**

Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse observed from the ships are 30° and 45° respectively. If the lighthouse is 100m high, find the distance between the two ships.

7 / 20

*Category:* **Height and Distance Questions**

A man sees the top of a tower from a point P. It makes an angle of elevation of 30° with the man’s eyes. If the height of the tower is 100 m, find the distance between man and tower?

8 / 20

*Category:* **Height and Distance Questions**

The angle of elevation of the sun when the length of the shadow of a pole is equal to the height of the pole is?

9 / 20

*Category:* **Height and Distance Questions**

The top of a 30 m high wall makes an angle of elevation of 60° with the top of a tower and makes an angle of depression of 45° with the bottom of the tower. Find the distance between tower and wall?

10 / 20

*Category:* **Height and Distance Questions**

A telegraph post is bent at a point above the ground. Its top just touches the ground at a distance of 8√3 m from its foot and makes an angle of 30° with the horizontal. The height (in metre) of the post is

11 / 20

*Category:* **Height and Distance Questions**

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

12 / 20

*Category:* **Height and Distance Questions**

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?

13 / 20

*Category:* **Height and Distance Questions**

A 25m long ladder is rested on a wall. The foot of the ladder is 7m away from the wall. If the end of the ladder (resting on the wall) slides down 4m, then how far will its foot move away?

14 / 20

*Category:* **Height and Distance Questions**

An observer 1.6 m tall is 20 square root 3 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:

15 / 20

*Category:* **Height and Distance Questions**

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:

16 / 20

*Category:* **Height and Distance Questions**

The tops of two poles are connected by a wire. The heights of the poles are 10 m and 14 m respectively. If the wire makes a 30° angle with the horizontal, find the length of the wire?

17 / 20

*Category:* **Height and Distance Questions**

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:

18 / 20

*Category:* **Height and Distance Questions**

The angle of elevation of the top of a tower at a point X is 30°. On walking 30 m towards the tower if the angle of elevation becomes 60° at point Y, find the height of the tower?

19 / 20

*Category:* **Height and Distance Questions**

The angle of elevation of the top of an unfinished building at point P which is 120 m away from its base is 30°. If the angle of elevation of the finished building at the same point would be 60°, find the height of the remaining part of the building.

20 / 20

*Category:* **Height and Distance Questions**

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:

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