engineering mathematics MCQ #298

A ladder leaning against a wall makes an angle of 45° with the ground. If the ladder is 10√2 m long, how high does it reach on the wall?

engineering mathematics MCQ #298

  1. Question 1

    Q1. A ladder leaning against a wall makes an angle of 45° with the ground. If the ladder is 10√2 m long, how high does it reach on the wall?

    • A) 10 m
    • B) 20 m
    • C) 10√2 m
    • D) 5 m

    Answer: 10 m

    Explanation: The sine of 45° equals the ratio of the height on the wall to the ladder's length. Since sin(45°) = √2/2, the height is 10√2 * √2/2 = 10 m, applying the formula sin(angle) = opposite/hypotenuse.