A river flows from west to east and on the way turns left and goes in a semi-circle round a hillock, and then turns left at right angle. In which direction is the river finally flowing?

Using of Pythagoras,

The required distance = ?1² + ?1² = ?2 m

Southwest

              North
West ___ | ___East
                |
             South
According to given Question,
I am facing West.

45° + 180° - 270° = -45°
Anticlockwise from initial position. Hence, the required direction is south - west.

North east direction.

First and second move will be in clockwise and 3rd move will be anticlockwise.

Namita walks 14 meters towards west from starting point S.
(Assume the starting point is S).
Then she turns to her right and walks 14 meters.
And then turns to her left and walks 10 meters.
Again turning to her left she walks 14 meters.

Required answer: DA + SA = 10 + 14 = 24m

The movements of Amit are as shown in Fig (P to Q, Q to R and R to S).
Clearly, his final position is S which is to the South ? East from the starting point P.

Draw the figure of movement with the help of given below direction graph.
A person starts from a point A and travels 3 km East - Wards to B. Then he turns left and travels 9 km to reach C.
He again turns left and travels 15 km and reaches his destination D.
The movements of the person are as shown in Figure
Clearly, AB = 3 km, BC = 3AB = (3 × 3) km = 9 km, CD = 5AB = (5 × 3) km = 15 km,
Draw AE ? CD.
Then, CE = AB = 3 km
AE = BC = 9 km
DE = (CD ? CE) = (15 ? 3) km = 12 km.
In triangle AED, AD² = AE² + DE²
or AD² = 9² + 12²
or AD² = 81+ 144
or AD² = 225
or AD² = 15²
AD = 15
Required distance = AD = 15 km

Let us assume her house is situated at point A.
Draw a figure of movement of Radhika.