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    3. Quantitative Aptitude
    4. Height and Distance
    5. A ladder 10 meters long is leaning against a vertical wall. If the bottom of the ladder is 6 meters

    Question

    A ladder 10 meters long is leaning against a vertical

    wall. If the bottom of the ladder is 6 meters away from the wall, at what height on the wall does the ladder touch?
    A 8 meters Correct Answer Incorrect Answer
    B 12 meters Correct Answer Incorrect Answer
    C 6 meters Correct Answer Incorrect Answer
    D 4 meters Correct Answer Incorrect Answer

    Solution

    Using the Pythagorean theorem: Height 2 + Base² = Hypotenuse² Height² + 6 2 = 102 Height² =100-36   Height2 = 64 Height = 8 meters

    Practice Next
      More Height and Distance Questions
    • I). p2 - 20p + 51 = 0,

      II). 2q2 - 7q + 6 = 0

    • l. x2 - 16x + 64 = 0

      II. y2 = 64

    • I. 84x² - 167x - 55 = 0

      II. 247y² + 210y + 27 = 0

    • I: √(100 x4 + 125x4) + 7x + 41/2 = -4x

      II: 3√(64y3) x 2y + 19y + 72 = -3y +...

    • I. 3x2 = 2x2 + 9x – 20

      II. 3y2 = 75

    • I. 8x² - 78x + 169 = 0

      II. 20y² - 117y + 169 = 0

    • Solve the quadratic equations and determine the relation between x and y:

      Equation 1: x² - 32x + 207 = 0

      Equation 2: y² - 51y + 648 = 0

    • Solve the quadratic equations and determine the relation between x and y:

      Equation 1: 21x² - 122x + 160 = 0

      Equation 2: 23y² - 159y +...

    • Solve the quadratic equations and determine the relation between x and y:

      Equation 1: 31x² - 170x + 216 = 0

      Equation 2: 22y² - 132y + ...

    • Solve the quadratic equations and determine the relation between x and y:

      Equation 1: 17x² - 94x + 120 = 0

      Equation 2: 13y² - 45y + 13...

    Relevant for Exams:

    • SSC CHSL

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