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From a window (h metres high above the ground) of a house in a street, the angle of elevation and depression of the top and the foot of another house on the opposite side to the street are θ and ∅ respectively.Then, the height of the opposite house is 
  • a)
    h cot θ cot Ø
  • b)
    h [cot θ cot Ø +1]
  • c)
    h tan θ cot Ø
  • d)
    h [tanθ cotØ +1]
Correct answer is option 'D'. Can you explain this answer?
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From a window (h metres high above the ground) of a house in a street,...

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From a window (h metres high above the ground) of a house in a street,...
Let's assume the height of the other house is h2 meters.
The angle of elevation from the window to the top of the other house is θ1, and the angle of depression from the window to the foot of the other house is θ2.

Using trigonometry, we can find the relationship between the heights and angles:

In the triangle formed by the window, the top of the other house, and the foot of the other house, we have:

tan(θ1) = h2/h
tan(θ2) = h2/h

Taking the inverse tangent of both sides of the equations, we can solve for h2:

θ1 = arctan(h2/h)
θ2 = arctan(h2/h)

Therefore, the height of the other house, h2, can be calculated as:

h2 = h * tan(θ1)
h2 = h * tan(θ2)
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From a window (h metres high above the ground) of a house in a street, the angle of elevation and depression of the top and the foot of another house on the opposite side to the street are θ and ∅ respectively.Then, the height of the opposite house isa)h cotθ cotØb)h [cotθ cotØ +1]c)h tanθ cotØd)h [tanθ cotØ +1]Correct answer is option 'D'. Can you explain this answer?
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From a window (h metres high above the ground) of a house in a street, the angle of elevation and depression of the top and the foot of another house on the opposite side to the street are θ and ∅ respectively.Then, the height of the opposite house isa)h cotθ cotØb)h [cotθ cotØ +1]c)h tanθ cotØd)h [tanθ cotØ +1]Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about From a window (h metres high above the ground) of a house in a street, the angle of elevation and depression of the top and the foot of another house on the opposite side to the street are θ and ∅ respectively.Then, the height of the opposite house isa)h cotθ cotØb)h [cotθ cotØ +1]c)h tanθ cotØd)h [tanθ cotØ +1]Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From a window (h metres high above the ground) of a house in a street, the angle of elevation and depression of the top and the foot of another house on the opposite side to the street are θ and ∅ respectively.Then, the height of the opposite house isa)h cotθ cotØb)h [cotθ cotØ +1]c)h tanθ cotØd)h [tanθ cotØ +1]Correct answer is option 'D'. Can you explain this answer?.
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