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A woman runs 4.5 miles south and 3,7 miles east. What is the angle of the displacement of the resultant?

Sagot :

Eduard22sly

Answer:

51°

Explanation:

Please see attached photo for explanation.

In the diagram, R is the resultant and θ is the angle of the displacement of the resultant.

The value of θ can be obtained as follow:

Angle θ =?

Opposite = 4.5 miles

Adjacent = 3.7 miles

Using Tan ratio:

Tan θ = Opposite / Adjacent

Tan θ = 4.5 / 3.7

Tan θ = 1.2162

Take the inverse of Tan

θ = Tan¯¹ 1.2162

θ ≈ 51°

Thus, the angle of the displacement of the resultant is 51°

View image Eduard22sly
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