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To the nearest tenth of a degree, 54.8° is the value when the spring is extended and the distance between points a and b is 5.3 feet.
The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant, is one of the six mathematical operations used to describe the side ratios of right triangles (csc). These six trigonometric functions are depicted in the figure in relation to a right triangle.
∅ = ?
adj= 3 ft
hyp= 5.2 ft
Applying the trigonometric function, which is:
cos ∅ = adj/hyp
Substitute
cos ∅ = [tex]\frac{3}{5.2}[/tex]
∅ = [tex]cos^{-1}( \frac{3}{5.2} )[/tex]
∅= 54.8°
Learn more about trigonometric function: https://brainly.com/question/16381132
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