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Height and Distance Questions & Answers

Practice the decisive Height & Distance questions that academics have compiled by reviewing question variations. Height & Distance questions and answers hold a low weightage in the exam and must be practised to improve the precision.

Q1

Q1 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:

A

173 m

B

200 m

C

273 m

D

300 m

Q2

Q2 A man standing at 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?

A

43 units

B

8 units

C

12 units

D

Data inadequate

E

None of these

Q3

Q3 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

2.3 m

B

4.6 m

C

7.8 m

D

9.2 m

Q4

Q4 An observer 1.6 m tall is 203 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

Q5

Q5 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:

A

149 m

B

156 m

C

173 m

D

200 m

Q6

Q6 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°

B

45°

C

60°

D

90°

Q7

Q7 A man is standing on the deck of a ship, which is 10m above water level. He observes the angle of elevation of the top of a light house as 600 and the angle of depression of the base of lighthouse as 300. Find the height of the light house.

A

30m

B

40m

C

45m

D

38m

Q8

Q8 A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank is 450. When he moves 20m away from the bank, he finds the angle of elevation to be 300. Find the height of the tree.

A

10(√3 + 1)m

B

15√3m

C

200(√3 + 1)m

D

10(√3 - 1)m

Q9

Q9 From the top of a building 60m high, the angle of elevation and depression of the top and the foot of another building are α and β respectively. Find the height of the second building.

A

60(1+ tan α tanβ)

B

60(1+ cot α tanβ)

C

60(1+ tan α cotβ)

D

60(1- tan αcotβ)

Q10

Q10 From the top of a tower 75m high, the angles of depression of the top and bottom of a pole standing on the same plane as the tower are observed to be 300 and 450 respectively. Find the height of the pole.

A

30.4m

B

35.9m

C

28.6m

D

31.7m

Practice Height and Distance Questions & Answers

The more questions a candidate answers, the better their understanding of the Height and Distance concepts and their ability to answer quickly and accurately.

Importance: Low

Difficulty level: 3 out of 5 (Normal)

Examination- SSC, Banking, GMAT, GRE, SAT, CAT, etc.

Parent section: Quantitative Aptitude

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