Question

One day raja left home and cycled 5km southwards, turned left and cycled 2km and turned left again and cycled 3km.then he turned right and cycled 5km.how many kilometers will he have to cycle to reach his home straight?

Answer 1

Raja has to travel 15 kilometres

Answer 2

Solution:

He has to cycle 7.28 km.

Explanation:

First of all Raja cycled 5 km southward then turned left and cycled 2km and turned left again and cycled 3km.then he turned right and cycled 5km.

Let us draw a diagram basis the given situation.

Let us join D with F. Hence, we have

EF = 7 km

AF = 2 km

Using Pythagorous theorem, we have

$AE = \sqrt{AF^2+EF^2}\\\\AE=\sqrt{7^2+2^2}\\\\AE=\sqrt{49+4}\\\\AE=\sqrt{53}\\\\AE=7.28 km$

He has to cycle 7.28 km.