R. S. Aggarwal Solutions for Exercise 1: Exercise

A man is facing south. He turns $135°$ in the anticlockwise direction and then $180°$ in the clockwise direction. Which direction is he facing now?

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

Deepak starts walking straight towards the east. After walking $75 \mathrm{metres}$, he turns to the left and walks $25 \mathrm{metres}$ straight. Again he turns to the left, walks a distance of $40 \mathrm{metres}$ straight, again he turns to the left and walks a distance of $25 \mathrm{metres}$. How far is he from the starting point?

Amit walked $30$ metres towards East, took a right turn and walked $40$ metres. Then he took a left turn and walked $30$ metres. In which direction is he now from the starting point?

Maya starts at point T, walks straight to point U which is $4 \mathrm{ft}$ away. She turns left at $90°$ and walks to W which is $4 \mathrm{ft}$ away, turns $90°$ right and goes $3 \mathrm{ft}$ to P, turns $90°$ right and walks $1 \mathrm{ft}$ to Q, turns left at $90°$ and goes to V, which is $1 \mathrm{ft}$ away, and once again turns $90°$ right and goes to R, $3 \mathrm{ft}$ away. What is the distance between T and R?

Sanjeev walks $10$ meters towards the South. Turning to the left, he walks $20$ meters and then moves to his right. After moving a distance of $20$ meters, he turns to the right and walks $20$ meters. Finally, he turns to the right and moves a distance of $10$ meters. How far and in which direction is he from the starting point?

Kashish goes $30$ meters North, then turns right and walks $40$ meters, then again turns right and walks $20$ meters, then again turns right and walks $40$ meters. How many meters is he from his original position?

Starting from a point P, Sachin walked $20$ meters towards South. He turned left and walked $30$ meters. He then turned left and walked $20$ meters. He again turned left and walked $40$ meters and reached a point Q. How far and in which direction is the point Q from the point P?