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JAMB Mathematics 2018 Paper

Question : 52

Total: 62

Solution:

Concept:

The positions of P, Q and R form a right-angled triangle.

The required distance is the hypotenuse.

Explanation:

Q is

5

km due West of P, so

PQ = 5

km.

R is

12

km due South of Q, so

QR = 12

km.

West and South are perpendicular directions, so

\angle PQR = 90^\circ

Using Pythagoras theorem:

PR^2 = PQ^2 + QR^2

PR^2 = 5^2 + 12^2 = 25 + 144 = 169

PR = \sqrt{169} = 13\text{ km}

Answer:

13

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