engineering mathematics MCQ #202

A building subtends an angle θ at a window 10 m above the ground. The angle subtended by the building at a point on the ground 5 m below the window is φ. If the height of the building is h, what is the value of tan θ + tan φ?

engineering mathematics MCQ #202

  1. Question 1

    Q1. A building subtends an angle θ at a window 10 m above the ground. The angle subtended by the building at a point on the ground 5 m below the window is φ. If the height of the building is h, what is the value of tan θ + tan φ?

    • A) (h - 10) / 5
    • B) (h + 15) / 5
    • C) h / 5
    • D) (2h - 5) / 5

    Answer: h / 5

    Explanation: Using the tangent function for both angles and the given distances, we can derive the expression for tan θ + tan φ in terms of 'h'.