# Height and Distance Questions for Competitive Exams

Table of Contents

## Height and Distance Questions for Competitive Exams

**Hello Students,**

Today we are sharing an important pdf in hindi upcoming all exams like **Height and Distance Questions for Competitive Exams **from examination point of view, therefore, it’s important to practice latest Height And Distance Questions And Answers. We have updated here height and distance solutions in multiple choice format that will boost the confidence of candidates and help them to solve questions easily. Look below height and distance MCQ Quiz.

**Height and Distance Questions for Competitive Exams **You must use trigonometric ratios which are tabulated below to determine heights and distances of different objects. Candidates can also prepare for exam through the Height and Distance Multiple Choice Quiz.

**Height and Distance Questions for Competitive Exams ** is an important topic from examination point of view, therefore, it’s important to practice latest Height And Distance Questions And Answers. We have updated here height and distance solutions in multiple choice format that will boost the confidence of candidates and help them to solve questions easily. Look below height and distance MCQ Quiz.

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** Math Topics**

- बीजगणित (Algebra )
- अनुपात और समानुपात (Ratio and Proportion )
- औसत (Average)
- प्रतिशत (Percentage )
- लाभ और हानि (Profit and Loss)
- साधारण ब्याज (Simple Interest)
- चक्रवृद्धि ब्याज (Compound Interest)
- त्रिभुज (Triangle)
- आयत (Rectangle)
- वर्ग (Square)
- घन (Cube)
- बेलन (Cylinder)
- शंकु (Cone)
- चतुर्भुज (Quadrilateral)
- बहुभुज (Polygon)
- वृत और अर्द्धवृत (Circle and Semicircle)
- त्रिज्याखंड एवं वृत्तखंड (Sector and Segment)
- गोला (Sphere)

#### Height and Distance Question and Answer

Q.1. A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 450 with the man’s eye when at a distance of 60 metres from the tower. After 5 seconds, the angle of depression becomes 300. What is the approximate speed of the boat, assuming that it is running in still water?

(a) 32 kmph

(b) 36 kmph

(c) 38 kmph

(d) 40 kmph

(e) 42 kmph

Ans . A

Q.2. The top of a 15-meter-high tower makes an angle of elevation of 600 with the bottom of an electric pole and angle of elevation of 30 with the top of the pole. What is the height of the electric pole?

(a) 5 meters

(b) 8 meters

(c) 10 meters

(d) 12 meters

(e) None of these

Ans . C

Q.3. An observer 1.6 m tall is m away from a tower. The angle of elevation from his eye to the top of the tower is 300. The height of the tower is

(a) 21.6 m

(b) 23.2 m

(c) 24.72 m

(d) None of these

Ans . A

Q.4. The angle of elevation of the top of a tower from a certain point is 300. If the observer moves 20 m toward the tower, the angle of elevation of the top of the tower increases by 150. The high of the tower is:

(a) 17.3 m

(b) 21.9 m

(c) 27.3 m

(d) 30 m

Ans . C

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Q.5. The angle of elevation of the sun, when the length of the of the shadow of a tree is times the height of the tree, is:

(a) 300

(b) 450

(c) 600

(d) 900

Ans . A

Q.6. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 300 with the man’s eye. The man walks some distance towards the tower to watch its top and the angle of elevation becomes 600. What is the distance between the base of the tower and the point P?

(a) units

(b) 8 units

(c) 12 units

(d) data inadequate

(e) None of these

Ans . D

#### Height and Distance Question and Answer

Q.7. From a point P on a level ground, the angle of elevation of the top of a tower is 300 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

Ans . C

Q.8. Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top the lighthouse as observed from the two ships are 300 and 450 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

Ans . C

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Q.9. On the same side of tower, two objects are located. Observed from the top of the tower, their angles of depression are 450 and 600. If the height of the tower is 150 m, the distance between the objects is:

(a) 63.5 m

(b) 76.9 m

(c) 86.7 m

(d) 90 m

Ans . A

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Q.10. The angle of elevation of a ladder leaning against a wall is 600 and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

(a) 2.3

(b) 4.6

(c) 7.8 m

(d) 9.2 m

Ans . D

Q.21. The angle of elevation of the top of a tower from two points A and B lying on the horizontal through the foot of the tower are respectively 150 and 300. If A and B are on the same side of the tower and AB = 48 meter, then the height of the tower is;

(A) 25√3 meter

(B) 24 meter

(C) 24√2 meter

(D) 96 meter

Ans . B

Q.22. Two post are x meters apart and the height of one is double that of the other. If from the mid-point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height (in metres) of the shorter post is

Ans . A

Q.23. An aeroplane when flying at a height of 5000m form the ground passes vertically above another aeroplane at an instant, when the angles of elevation of the two aeroplanes from the same point on the ground are 600 and 450 respectively. The vertical distance between the aeroplanes at that instant is

(A) 5000(√3-1) m

(B) 5000 (3-√3) m

(D) 4500 m

Ans . C

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Q.24. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 300. The man walks some distance to wards the tower and then this angle of elevation of the top of the tower is 600. If the height of tower is 30m, then the distance he moves is

(A) 22 m

(B) 22√3 m

(C) 20 m

(D) 20√3m

Ans . D

Q.25. An aeroplane when flying at a height of 3125m from the ground passes vertically below another plane at an instant when the angle of elevation of the two planes from the same point on the ground an 300 and 600 respectively. The distance between the two planes at that instant is

(A) 6520 m

(B) 6000 m

(C) 5000 m

(D) 6250 m

Ans . D

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Q.26. The shadow of the tower becomes 60 meters longer when the altitude of the sun changes from 450 to 300 .Then the height of the tower is

(A) 20(√3+1)m

(B) 24 (√3+1) m

(C) 30 (√3+1)m

(D) 30 (√3-1) m

Ans . C

Q.27. A vertical post 15 ft. high is broken at a certain height and its upper part, not completely separated meets the ground angle of 300. Find the height at which the post is broken

(A) 10 ft

(B) 5 ft

(C) 15√3(2-√3) ft

(D) 5√3 ft

Ans . B

Q.28. The shadow of a tower is √3 times its height. Then the angle of elevation of the top of the tower is

(A) 450

(B) 300

(C) 600

(D) 900

Ans . B

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Q.29. A man 6ft tall cats a shadow 4ft long. At the same time when a flag pole casts a shadow 50 ft long. The height of the flag pole is

(A) 80 ft

(B) 75 ft

(C) 60 ft

(D) 70 ft

Ans . B

Q.30. The angle of elevation of an aeroplane from a point on the ground is 600. After 15 seconds flight, the elevation changes to 300, If the aeroplane is flying at a height of 1500√3 m, find the speed of the plane

(A) 300 m/sec

(B) 200 m/sec

(C) 100 m/sec

(D) 150 m/sec

Ans . B

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