Question

Which ratio below would work for finding the angle measure of ⦣C?

Question 19 options:

Sin C= 12/15


Sin C= 9/12


Tan C= 9/12


Cos C= 9/15

Answer 1

Answer:

$\huge\boxed{\tan C=\dfrac{9}{12}}$

Step-by-step explanation:

$sine=\dfrac{opposite}{hypotenuse}$

We have:

$opposite=9\\hypotenuse=15$

Substitute:

$\sin C=\dfrac{9}{15}$

$cosine=\dfrac{adjacent}{hypotenuse}$

We have:

$adjacent=12\\hypotenuse=15$

Substitute:

$\cos C=\dfrac{12}{15}$

$tangent=\dfrac{opposite}{adjacent}$

We have:

$opposite=9\\adjacent=12$

Substitute:

$\tan C=\dfrac{9}{12}$