Question

find the value of \\( \cos t \\) rounded to the nearest hundredth, if necessary.
answer
\\( \cos t = \\)

Explanation:

Step1: Recall the cosine formula in a right - triangle

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For angle $T$, the adjacent side to angle $T$ is $ST = 14$, and the hypotenuse is $RT=50$.

Step2: Calculate $\cos T$

Using the formula $\cos T=\frac{ST}{RT}$, substitute $ST = 14$ and $RT = 50$ into the formula. So, $\cos T=\frac{14}{50}=\frac{7}{25}=0.28$.

Answer:

$0.28$