engineering mathematics MCQ #205

The angle of elevation of a cliff from a fixed point A is θ. After going up a distance of 'k' m towards the top of the cliff at an angle φ, it is found that the angle of elevation is α. What is the height of the cliff?

engineering mathematics MCQ #205

  1. Question 1

    Q1. The angle of elevation of a cliff from a fixed point A is θ. After going up a distance of 'k' m towards the top of the cliff at an angle φ, it is found that the angle of elevation is α. What is the height of the cliff?

    • A) k cos φ / (cot θ - cot α)
    • B) k sin φ / (cot α - cot θ)
    • C) k sin φ / (tan α - tan θ)
    • D) k cos φ / (tan θ - tan α)

    Answer: k sin φ / (tan α - tan θ)

    Explanation: Using the sine rule and the tangent function, we can derive the expression for the height of the cliff.