Question

HELP! Which of the following is correct based on this picture?

Answer 1

Answer: None is correct..

Step-by-step explanation:

The side that is missing is the adjacent side, therefore you would have to do cosM. But Cosine is adjacent over hypotenuse and that is not an option.

So i think it is D.

Answer 2

Answer:

$cos M = \frac{38}{63}$

Step-by-step explanation:

In right angled triangle YUM

YU = Perpendicular

UM = Base = 38

YM = Hypotenuse = 63

For ∠M , Base is UM

$Tan M = \frac{perpendicular}{Base}$

$Tan M = \frac{YU}{UM}$

$Tan M = \frac{YU}{38}$

So, Option A is wrong.

$Sin M = \frac{perpendicular}{Hypotenuse}$

$sin M = \frac{YU}{YM}$

$sin M = \frac{YU}{63}$

So, option B is wrong

$Cos M = \frac{Base}{Hypotenuse}$

$cos M = \frac{UM}{YM}$

$cos M = \frac{38}{63}$

So, Option C is correct.