1 Answer

Carrein · Answer 1 · 2023-04-02T18:06:55+0000

Verify each option

Option A

Find out sinD

Calculate the length side KD (the hypotenuse of the right triangle)

Applying the Pythagorean Theorem

$\begin{gathered} KD^2=24^2+31^2 \\ KD^2=1,537 \\ KD=√(1,537) \end{gathered}$

so

$sinD=(24)/(√(1,537))\text{ ----> by SOH}$

Option A is not true

Option B

Find out tanD

$tanD=(24)/(31)\text{ ----> by TOA}$

Option B is not true

Option C

Find out tanK

$tanK=(31)/(24)\text{ ----> by TOA}$

Option C is correct

Option D

Find out cosK

$cosK=(24)/(√(1,537))--->\text{ by CAH}$

Option D is not true

Therefore