Question

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

Answer 1

Solution:

Raja has to cycle 7.28 km to reach his home straight.

Explanation:

Let us suppose A is the home. Then on the basis of the given directions, we can draw a diagram. From the given diagram, we have to find AE.

Draw DF and the value of DF should be 2 km.

EF = FD +DE = 2+5 = 7 Km

AF= 5 - 3 = 2 Km

In right angle triangle AFE,

$\text{AE} = \sqrt{2^2+7^2}\\\\\text{AE} =\sqrt{4+49}\\\\\text{AE} =\sqrt{53}\\\\\text{AE} =7.28$

Therefore, Raja has to cycle 7.28 km to reach the home straight.