Question

!!! Help ASAP please!!!!In DEF, sin D = 24/26 What is cos E?

Answer 1

the answer is A.............

Answer 2

A

Explanation:

Cosine is the ratio of "adjacent" to "hypotenuse"

With respect to the Angle E, the adjacent side is FE and the hypotenuse (always opposite side to 90 degree angle) is DE.

We are given DE = 26, but we need FE. We will solve for FE using Pythagorean Theorem, which tells us:

leg^2 + another leg^2 = hypotenuse^2

So, we will have:

10^2 + FE^2 = 26^2

Now, we solve for FE:

`10^2 + FE^2 = 26^2\\100+FE^2=676\\FE^2=576\\FE=24`

So,

Cos(E) = adj/hyp = 24/26

Correct answer is A