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

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Bihar STET TGT (Science) Official Paper-I (Held On: 08 Sept, 2023 Shift 1)
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  1. Increases 
  2. Decreases 
  3. Do not change
  4. None of the above

Answer (Detailed Solution Below)

Option 3 : Do not change
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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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