Height and Distance Questions

Height and distance 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.

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.

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Height and Distance Questions

Trigonometric Ratios of Standard Angles

∠C	0∘	30∘	45∘	60∘	90∘
sin C	0	12	1√2	√32	1
cos c	1	√32	1√2	12	0
tan C	0	1√3	1	√3	Not Defined
csc C	Not Defined	2	√2	2√3	1
sec C	1	2√3	√2	2	Not Defined
cot C	Not Defined	√3	1	1√3	0

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Height and Distance Questions and Answers

Candidates are advised to solve out Height and Distance Questions which is given on this single page.

Ques1: 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:

1. 173 m
2. 200 m
3. 273 m
4. 300 m

Answer & Explanation:

Answer: Option 3

Explanation:

Ques2: 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:

1. 3 m
2. 6 m
3. 8 m
4. 2 m

Answer & Explanation:

Answer: Option 4

Explanation:

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Ques3: 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:

1. 149 m
2. 156 m
3. 173 m
4. 200 m

Answer & Explanation:

Answer: Option 3

Explanation:

Ques4: 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:

1. 45°
2. 30°
3. None of these
4. 60°

Answer & Explanation:

Answer: Option 1

Explanation:

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Ques5: 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 45° with the man’s eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?

1. 42 km/hr
2. 28 km/hr
3. 22 km/hr
4. 25 km/hr

Answer & Explanation:

Answer: Option 2

Explanation:

Ques6: A man is watching from the top of a tower, a boat speeding away from the tower. The angle of depression from the top of the tower to the boat is 60⁰ when the boat is 80m from the tower. After 10 seconds, the angle of depression becomes 30⁰. What is the speed of the boat? (Assume that the boat is running in still water).

1. 20 m/sec
2. 10 m/sec
3. 16 m/sec
4. 18 m/sec

Answer & Explanation:

Answer: Option 3

Explanation:

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Ques7: A car is moving at uniform speed towards a tower. It takes 15 minutes for the angle of depression from the top of tower to the car to change from 30⁰ to 60⁰. What time after this, the car will reach the base of the tower?

1. 6 min
2. 5 min
3. 7 min
4. 5 min

Answer & Explanation:

Answer: Option 4

Explanation:

Ques8: The angle of elevation of the top of a tower from point A on the ground is 30⁰. On moving a distance of 40m towards the foot of the tower, the angle of elevation increases to 45⁰. Find the height of the tower.

1. 6m
2. 84m
3. 64m
4. 76m

Answer & Explanation:

Answer: Option 3

Explanation:

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Ques9: 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.

1. 4m
2. 9m
3. 6m
4. 7m

Answer & Explanation:

Answer: Option 4

Explanation:

Ques10: 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

Answer & Explanation:

Answer: Option 4

Explanation:

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