If the height of the building and the distance from the foot of the building to a point is increased by 20%, then the angle of elevation at the top of the building is:

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Bihar STET TGT (Social Science) Official Paper-I (Held On: 18 Sept, 2023 Shift 6)
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  1. grows
  2. decreases
  3. do not very
  4. neither of the above

Answer (Detailed Solution Below)

Option 3 : do not very
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Bihar STET Paper 1 Mathematics Full Test 1
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Detailed Solution

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Given

The height of the building and distance from the building foot’s to a point is increased by 20%

Concept

Height and distance

Calculation

Let the angle before increase be A°.

Height = h and distance = x.

Tan A = h/x

Let the angle after the increase be B°.

After the height and distance is increased:

h = 120/100 ×  h = 6/5h

x = 120/100 ×  x = 6/5x

Tan B° = (6/5h)/(6/5x) = h/x

Tan B° = Tan A°

Hence, the angle remains the same and do not change.

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