Respuesta :

carlosego

Answer:

C. 4/5

Step-by-step explanation:

We have that cos(M) = Adjacent side/Hypotenuse

Where:

Hypotenuse (h) = 25

We do not know the adjacent side (a), but the opposite side (b).

Then we use the Pythagorean theorem:

[tex]h ^ 2 = a ^ 2 + b ^ 2\\a ^ 2 = -b ^ 2 + h ^ 2\\a ^ 2 = -15 ^ 2 + 25 ^ 2\\a ^ 2 = 400\\a = 20[/tex]

Then:

[tex]cos(M) = \frac{20}{25} = \frac{4}{5}[/tex]

Option C

imlittlestar

Answer:

The correct answer is option C. 4/5

Step-by-step explanation:

Pythagorean theorem:-

Hypotenuse² = Base² +  Height²

It is given a right triangle ABC.

To find the value of MN

Hypotenuse² = Base² +  Height²

ML = 25

NL  =15

MN = ?

ML²  = NL² + MN²

MN² = ML² - NL² =  25² - 15² = 625 - 225 = 400

MN = √400 = 20

To find Cos(M)

Cos(M) = Adjacent side/Hypotenuse

Cos(M) = MN/ML= 20/25 = 4/5

The correct answer is Option C. 4/5

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