Question

find the cosine of \\( \angle t \\).
simplify your answer and write it as a proper fraction, improper fraction, or whole number.
\\( \cos ( t ) = \\)

Explanation:

Step1: Recall the cosine formula for a right - triangle

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). For \(\angle T\), the adjacent side to \(\angle T\) is \(TR = 36\), and the hypotenuse is \(TS=85\).

Step2: Calculate \(\cos(T)\)

Using the formula \(\cos(T)=\frac{TR}{TS}\), substituting \(TR = 36\) and \(TS = 85\), we get \(\cos(T)=\frac{36}{85}\).

Answer:

\(\frac{36}{85}\)