Question

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

Explanation:

Step1: Recall cosine definition

In a right triangle, $\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}$ for angle $\theta$.
For $\angle D$, adjacent side is $DE = 24$, hypotenuse is $DF = 26$.

Step2: Calculate $\cos D$

$\cos D = \frac{DE}{DF} = \frac{24}{26}$
Simplify: $\frac{24}{26} = \frac{12}{13} \approx 0.923076923$
Round to nearest hundredth: $0.92$

Answer:

$0.92$