WBCS.LIVE practice question

A ladder is kept against a wall. The top of the ladder touches the wall at a height of 270 cm from the ground. The base of the ladder is 54 cm away from the wall on the ground. Find the length of the ladder.

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. √53682 cm.
  2. √68164 cm.
  3. √75816 cm.
  4. √82547 cm.

Correct answer and explanation

Correct answer: √75816 cm.

Explanation: ✅ Correct Answer: C. √75816 cm. 📚 Explanation: To find the length of the ladder, we use the Pythagorean theorem: Length squared = (Height squared) + (Base squared). Calculation: (270 multiplied by 270) + (54 multiplied by 54). This equals 72900 + 2916 = 75816. Therefore, the length of the ladder is exactly the 'square root of 75816' cm. This is a straightforward application of right-angled triangle geometry.