Question 47

Rehana drives 6 km west from her home and turns left and drives 3 km and then turns left again and drives 10 km. What is the shortest distance between Rehana’s home and office?

Solution

Let the distance from home to Office = $$x$$ and drow the diagram

Using Pythagoras theorem

$$ x^2 = 3^2 + 4 ^2 $$

$$\Rightarrow x^2 = 9 + 16 $$

$$\Rightarrow x^2 = 25 $$

$$\Rightarrow x = \sqrt {25} $$

$$\Rightarrow x = 5 $$

Thus, the shortest distance from home to Office = 5 Km Ans

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