engineering mathematics MCQ #135

A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man's eye when at a distance of 50 m from the tower. After 1 second, the angle of depression becomes 30°. What is the approximate speed of the boat?

engineering mathematics MCQ #135

  1. Question 1

    Q1. A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man's eye when at a distance of 50 m from the tower. After 1 second, the angle of depression becomes 30°. What is the approximate speed of the boat?

    • A) 60 km/h
    • B) 68.2 km/h
    • C) 70 km/h
    • D) 80 km/h

    Answer: 68.2 km/h

    Explanation: First, find the distance traveled by the boat using trigonometric relations. Then, calculate the speed.