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Height And Distance Questions And Answers

The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

  1. 2.3 m
  2. 4.6 m
  3. 7.8 m
  4. 9.2 m
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Answer :   Option 4

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Explanation: Please watch Heights And Distances video lesson.

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 30º. The height of the tower is:

  1. 21.6 m
  2. 23.2 m
  3. 24.72 m
  4. None of these
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Answer :   Option 1

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Explanation: Please watch Heights And Distances video lesson.

The angle of elevation of the top of the tower at a point on the ground is 30º. On walking 24 m towards tower, the angle of elevation becomes 60º. Find the height of the tower.

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Answer :   20.76 m

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Explanation: Please watch Heights And Distances video lesson.

A telegraph post is bent at a point above the ground due to storm. Its top just meets the ground at a distance of 8 v3 meters from its foot and makes an angle of 30º, then the height of the post is ?

  1. 16 m
  2. 23 m
  3. 24 m
  4. 10 m
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Answer :   Option 3

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Explanation: Please watch Heights And Distances video lesson.

There are two temples, one on each bank of the river, just opposite to each other. One temple is 54 m high. From the top of this temple, the angles of depreciation of the top and foot of the other temple are 30º and 60º respectively. Find the width of the river and the height of the other temple.

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Answer :   W=31.14 m, H=36 m

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Explanation: Please watch Heights And Distances video lesson.

From the top of tower of height 180m the angles of depression of two objects on either sides of the tower are 30º and 45º. Then the distance between the objects are ?

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Answer :   491.4 m

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Explanation: Please watch Heights And Distances video lesson.

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
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Answer :   Option 3

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Explanation: Please watch Heights And Distances video lesson.

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 60º. What is the distance between the base of the tower and the point P?

  1. 43 units
  2. 8 units
  3. 12 units
  4. Data inadequate
  5. None of these
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Answer :   Option 4

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Explanation: Please watch Heights And Distances video lesson.

Two towers A and B have lengths 45m and 15m respectively. The angle of elevation from the bottom of the tower B to the top of the tower A is 60º. If the angle of elevation from the bottom of tower A to the top of the tower B is Ɵ then the value of sinƟ is ?

  1. 1/√2
  2. 1/2
  3. √3/2
  4. 1
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Answer :   Option 2

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Explanation: Please watch Heights And Distances video lesson.

The distance between two vertical poles is 60m. The height of one of the pole is double the height of the other. The angles of elevation of the top of the poles from the middle point of the line segment joining their feet are complementary to each other. The height of the poles are ?

  1. 10 m, 20 m
  2. 20 m, 40 m
  3. 20.9 m, 41.8 m
  4. 15 √2 m, 30 √2 m
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Answer :   Option 4

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Explanation: Please watch Heights And Distances video lesson.

A man is watching from the top of a tower a boat speeding away from the tower. The boat makes and angle of depression of 45º with the man’s eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30º. What is the approximate speed of the boat, assuming that it is running in still water ?

  1. 32 kmph
  2. 36 kmph
  3. 38 kmph
  4. 40 kmph
  5. 42 kmph
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Answer :   Option 1

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Explanation: Please watch Heights And Distances video lesson.

A man on the top of a tower, standing on the seashore finds that a boat coming towards him takes 10 minutes for the angle of depression to change from 30º to 60º. Find the time taken by the boat to reach the shore from this position ?

View Answer

Answer :   5 Min

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Explanation: Please watch Heights And Distances video lesson.

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