Question

"A hiker starts at point P and walks 2.0 kilometers due east and then 1.4 kilometers due north. The vectors in the diagram below represent these two displacements.
Determine the magnitude of the hiker’s resultant displacement."

Answer 1

Answer:

2.44 km

Explanation:

The resultant displacement of the hiker is just the hypothenuse of the right triangle whose sides are the displacements of 2.0 km east and 1.4 km north. Therefore, the magnitude of the resultant displacement can be found by using Pythagorean's theorem:

$R=\sqrt{(2.0 km)^2+(1.4 km)^2}=2.44 km$

Answer 2

Here, you need to use your "Protractor" as it is given in the question, but we can calculate the value with the help of our mathematical calculation too:
[ Protractor can be use only in real life, not here ]

Draw an imaginary line from initial position to final position.
Now, In that triangle, tan x = P/B
tan x = 1.4 / 2
tan x = 0.70
x = tan⁻¹ (0.70)
x = 35  [ tan 35 = 0.70 ]

In short, Your Answer would be 35 degrees

Hope this helps!