Question

A man goes 10 meter due
east and then 24 meter due north. Find the distance from thestarting point.

Answer 1

Hi ,
               N
               Ι  
               Ι
       ____Ι______
    E         Ι            W
               Ι
                S


Draw a rough diagram according to the given data in the problem,


we get a right angled triangle ,

distance traveled towards North = 24 m

distance traveled towards East = 10 m

 distance from the starting point =Joining the to end points

                                                    = Hypotenuse of the right triangle

using Pythagoras Theorem ,

( Hypotenuse )² = ( base )² + ( height )²

                          = ( 10 )² + ( 24 )²

                          = 100 + 576

                          = 676 

                          = ( 26 )²

Now required distance from starting point = √ ( Hypotenuse )²

                                                                   = √(26)²

                                                                   = 26 m

I hope this is useful to you.

***

Answer 2

we get a right angled triangle ,

distance traveled towards North = 24 m

distance traveled towards East = 10 m

 distance from the starting point =Joining the to end points

                                                   = Hypotenuse of the right triangle

using Pythagoras Theorem ,

( Hypotenuse )² = ( base )² + ( height )²

                         = ( 10 )² + ( 24 )²

                         = 100 + 576

                         = 676 

                         = ( 26 )²

Now required distance from starting point = √ ( Hypotenuse )²

                                                                  = √(26)²

                                                                  = 26 m

I hope this is useful to you.

***