Physics: 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 displacement was 31 Explanation:...

Eric decided to go for a walk from his home. he

memester74

11.03.2022

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 = $\sqrt{6^2+4.52^2} =7.51m$

Length of displacement vector = 7.51 m

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