Height and Distance Questions Practice Question and Answer

Q:

The height of a light house is 20 meters above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30°. What is the distance of the ship from the foot of the light house?

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  • 1
    16 m
    Correct
    Wrong
  • 2
    20√ 3 m
    Correct
    Wrong
  • 3
    20 m
    Correct
    Wrong
  • 4
    30 m
    Correct
    Wrong
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Answer : 2. "20√ 3 m"

Q:

A straight tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30 ° with the ground. The distance from the foot of the tree to the point, where the top touches the ground is 10m. Find the total height of the tree 

1372 0

  • 1
    10(√3+1) m
    Correct
    Wrong
  • 2
    10(√3-1) m
    Correct
    Wrong
  • 3
    10 √3 m
    Correct
    Wrong
  • 4
    Correct
    Wrong
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Answer : 3. "10 √3 m "

Q:

The angles of elevation of the top of a temple, from the foot and the top of a building 48 m high, are 60o and 30o respectively. The height of the temple is more than the building. The height of the temple is-

1369 0

  • 1
    72 m
    Correct
    Wrong
  • 2
    75 m
    Correct
    Wrong
  • 3
    60 m
    Correct
    Wrong
  • 4
    65 m
    Correct
    Wrong
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Answer : 1. "72 m"

Q:

From the top of an upright pole 17.75 m high, the angle of elevation of the top of an upright tower was 60⁰. If the tower was 57.75 m tall, how far away (in m) from the foot of the pole was the foot of the tower?

1343 0

  • 1
    Correct
    Wrong
  • 2
    Correct
    Wrong
  • 3
    Correct
    Wrong
  • 4
    Correct
    Wrong
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Answer : 4. ""

Q:

The length of the shadow of a vertical tower on level ground increases by 10 meters when the altitude of the sun changes from 45° to 30°. Then the height of the tower is 

1334 0

  • 1
    5 ( √3 + 1 ) meters
    Correct
    Wrong
  • 2
    5 ( √3 - 1 ) meters
    Correct
    Wrong
  • 3
    5√3 meters
    Correct
    Wrong
  • 4
    Correct
    Wrong
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Answer : 1. "5 ( √3 + 1 ) meters "

Q:

A man standing on the bank of river observes that the angle subtended by a tree on the opposite bank is 60°. When he retrieves 36 m from the bank, he find that the angle is 30°. The breadth of the river is

1331 0

  • 1
    15 m
    Correct
    Wrong
  • 2
    18 m
    Correct
    Wrong
  • 3
    16 m
    Correct
    Wrong
  • 4
    11 m
    Correct
    Wrong
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Answer : 2. "18 m"

Q:

From an observation tower ‘h’ meter above the level of river, the angle of depression of a point on the near shore is A° and that of a point directly on the far shore is B°. Find the width of the river.

1310 0

  • 1
    h (Cot B +Cot A)
    Correct
    Wrong
  • 2
    h (tanB +tanA)
    Correct
    Wrong
  • 3
    h (tanA - tan B)
    Correct
    Wrong
  • 4
    h(cot B-cotA)
    Correct
    Wrong
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Answer : 1. "h (Cot B +Cot A)"

Q:

The angle of elevation of sun changes form 30°to 45°, the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume √3 = 1.732) 

1265 0

  • 1
    1.464 m
    Correct
    Wrong
  • 2
    9.464 m
    Correct
    Wrong
  • 3
    3.648 cm
    Correct
    Wrong
  • 4
    5.464 m
    Correct
    Wrong
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Answer : 4. "5.464 m"

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