Question

A man starts walking towards the east and after covering a distance of 50 metres that turns left jobs for 40 metres he then turns to his right and most 15 metres how far is he from starting point

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The answer is 66.5 meters.

GIVEN

A man starts walking towards the east and after covering a distance of 50 metres that turns left jobs for 40 metres he then turns to his right and most 15 metres.

TO FIND

How far is he from starting point.

SOLUTION

We can simply solve the above problem as follows;

Let the starting point of the man be 'O'

Let Distance walked towards east = OA

Distance walked towards left of East = AB

Distance right of AB = BC

Therefore,

OA = 50 meters

AB = 40 meters

BC = 15 meters.

If we extend OA till D where,

AD = BC

And,

Extending BC to E

Where,

EB = OA

So, ECDO is a rectangle,

The diagonal OC is the the distance between the starting and final points.

Applying pythagorus theorem in ΔODC

OC² = OD² + DC²

OC² = 65² + 40²

OC² = 4425

OC = √4425 = 66.5 meters.

Hence, The answer is 66.5 meters.

PICTURE FOR REFERENCE

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