Question

find the value of \\(\cos d\\) rounded to the nearest hundredth, if necessary.
(image of a right triangle def with right angle at e, de = 24, ef = 10, df = 26)
answer attempt 1 out of 2
\\(\cos d = \\) input box submit answer

Explanation:

Step1: Recall the cosine formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For angle $D$, the adjacent side to angle $D$ is $DE$ and the hypotenuse is $DF$.

Step2: Substitute the values

We know that $DE = 24$ and $DF=26$. So, $\cos D=\frac{DE}{DF}$.
Substituting the values, we get $\cos D=\frac{24}{26}$.

Step3: Simplify the fraction

$\frac{24}{26}=\frac{12}{13}\approx0.92$ (rounded to the nearest hundredth).

Answer:

$0.92$