The distance from library and the park is 12 miles.
What is trigonometric Ratios?
"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".
For the given situation,
Jaime ride her bike in north = 5 miles
Jaime ride her bike in east = 13 miles
The distance from library and the park be x.
The below diagram shows about the Jaime's riding.
The distance from library and the park can be find by using Pythagoras theorem,
[tex]Hypotenuse^{2} = Perpendicular^{2} + base^{2}[/tex]
On substituting the above values,
⇒ [tex]13^{2} = 5^{2}+x^{2}[/tex]
⇒ [tex]x^{2} =169-25[/tex]
⇒ [tex]x^{2} = 144[/tex]
⇒ [tex]x=\sqrt{144}[/tex]
⇒ [tex]x=12[/tex]
Hence we can conclude that the distance from library and the park is 12 miles.
Learn more about trigonometric ratios here
brainly.com/question/9085166
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