A ladder 13 m long leans against a vertical wall with its foot 5 m from the wall. How high up the wall does it reach?

Answer and explanation

Correct answer: A. 12 m

  1. Step 1: The ladder is the hypotenuse: 13^2 = 5^2 + h^2. Step 2. h^2 = 169 - 25 = 144, so h = 12 m. Answer: 12 m. Why not the others: 8 m: Subtracting the lengths ignores the right angle. 18 m: Adding the lengths ignores the right angle. 13 m: That is one more than the height the theorem gives.

Practise more Pythagoras theorem.

Free questions with an explanation for every one, and full timed Kenya KCSE mock tests.