Question

You first walk 8.0 km north from home, then walk east until your displacement from home is

10.0 km. How far east did you walk? [Hint: Using the Pythagorean Theorem]

Answer 1

Answer:

walked = √(100-64) =√36=6km

Answer 2

The answer is 6 km

GIVEN

Distance travelled to north = 8.0 km

Displacement = 10 km

TO FIND

Distance travlled to east.

SOLUTION

The above problem can be simply solved as follows;

Let the starting point = O

Distance travelled to north = OA = 8 km

Distance travelled to east = AB

Displacement = BO = 10km

Applying pythagorus theorem in ΔOAB

BO² = OA² + AB²

100 = 64 + AB²

AB² = 36

AB = 6km

Hence, The answer is 6 km

#SPJ3