Question 13

Mayank started driving from his office to the hotel. He drove 10 km towards north. From there, he turned right and drove 8 km. Then, he turned right and drove 6 km. Again, he turned right and drove 5 km and reached his hotel. What is the shortest distance from the office to his hotel?

Solution

Mayank driving distance draw the diagram is given below

Let office to hotel = x km

Using Pythagorean theorem,

then $$ x^2 = (4)^2 + (3) ^2 $$

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

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

$$ \Rightarrow x = 5 km Ans

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