Eric decided to go for a walk from his home. he headed 6 meters east and x meters north. the angle formed by the displacement vector and the horizontal vector is 37°. what is the length of the displacement vector?

The answer is A. 7.5.

 Length of displacement vector = 7.51 m

Explanation:

 Consider east as positive X axis and North as positive Y axis.

 Eric headed 6 meters east, Displacement = 6 i

 Then he headed X meters north, Displacement = X j

 Total displacement = 6 i + X j

  Angle it makes with horizontal axis, θ = tan⁻¹(X/6) = 37°

  X/6 = tan 37

   X = 4.52 m

Total displacement = 6 i + 4.52 j

Magnitude =

 Length of displacement vector = 7.51 m

what type of charge does it have? negative

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.