ii) A hiker walks 200m west and then walks 100m north. In what direction is
her resulting displacement? Draw the figure to show your answer.
Answers
Answer:
the hiker has been traveling in north West direction
Answer:
NORTH WEST DIRECTION
Explanation:
A hiker walks 200 m west and then walks 100 m north, the resulting magnitude is 223 m.
The hiker start from point A, moves to the west direction and reaches point B then she moves 100m in the north direction and reaches point C. Now, we need to find the shortest distance that is the displacement of the hiker. The distance from point C to point A will be the shortest distance of the hiker. The hiker moves along a right angled triangle ABC in which AB is treated as the base of the triangle, BC is treated as the altitude of the triangle and CA is treated as the hypotenuse of the triangle. According to Pythagoras theorem “the square of the longest side is the sum of the base and altitude of the right angled triangle.”
The direction can be solve using trigonometric function sin angle = opposite/ hypotenuse. Which is equal to 26.6 degree. So the displacement and direction is 223 m 26.6 degree North of west.
