Question

A hiker walks 22.34 m, E and 12.38 m, N. What is the direction of his resultant displacement?

A) North
B) East
C) South
D) West
E) Northeast

Answer 1

The hiker's resultant displacement is 29.4° north of east, which is closest to the answer E) Northeast.

Step-by-step explanation:

The hiker walked 22.34 m east and 12.38 m north. To find the direction of the resultant displacement, we can use the Pythagorean theorem to calculate the distance traveled by the hiker:

Distance = √((22.34)^2 + (12.38)^2) = 25.47 m

Next, we can use trigonometry to find the angle:

tan(θ) = (12.38)/(22.34) = 0.554

θ = tan-1(0.554) = 29.4°

Therefore, the direction of the hiker's resultant displacement is 29.4° north of east, which is closest to the answer E) Northeast.