A tree is 8km due south of a building. Kofi is standing 8km west of...

MATHEMATICS
WAEC 2000

A tree is 8km due south of a building. Kofi is standing 8km west of the tree. How far is Kofi from the building?

  • A. 4√2km
  • B. 8km
  • C. 8√2km
  • D. 16km

Correct Answer: C. 8√2km

Explanation

\(x^2 = 8^2 + 8^2\)

\(x^2 = 64 + 64 = 128\)

\(x = \sqrt{128}\)

= \(8\sqrt{2}\) km



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