Multiple choice

A ladder of $3.9m$ length is laid against a wall. The distance between the foot of the wall and the ladder is $1.5m$. Find the height at which the ladder touches the wall.

  1. $3.6$m
  2. $4.55$m
  3. $4.82$m
  4. $5.7$m
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A Correct answer
Explanation

Using the Pythagorean theorem, the height h is calculated as sqrt(3.9^2 - 1.5^2). This equals sqrt(15.21 - 2.25) = sqrt(12.96), which is 3.6m.

AI explanation

The ladder, the wall, and the ground form a right-angled triangle where the ladder is the hypotenuse of 3.9 m and the base is 1.5 m. Using the Pythagorean theorem, the height is calculated as sqrt(3.9^2 - 1.5^2). This simplifies to sqrt(15.21 - 2.25) = sqrt(12.96) = 3.6 m.

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