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Using trigonometry what is the value of t

Using trigonometry what is the value of t-example-1

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Answer: t≈8.93 units

Explanation:

The cosine of an angle (cos) is the ratio of the adjoining leg of a right triangle to the hypotenuse

Hence,


\displaystyle\\cos56^0 =(5)/(t) \\

Multiply both parts of the equation by t(t≠0):


\displaystyle\\cos56^0(t)=(5)/(t) (t)\\\\t(cos56^0)=5

Divide both parts of the equation by cos56°:


\displaystyle\\t=(5)/(cos56^0) \\\\t\approx(5)/(0,56) \\\\t\approx8,93\ units

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