Question

Which equation correctly uses the value of b to solve for a?

Answer 1

Answer:

The answer is C on Edge 2020

Step-by-step explanation:

Answer 2

Answer:

$\tan(22.6)=\frac{a}{12}$

Step-by-step explanation:

We know that $\cos(22.6)=\frac{b}{13}$. Rounding the value of b as asked in the problem gives b=12.

From the right-triangle definition of cosine, b must be the adjacent side to the angle 22.6º and the hypothenuse of the triangle must be 3.

Then, a is the opposite side of the angle 22.6º therefore using the definition of sine, $\sin(22.6)=\frac{a}{3}$. Solving for a, we obtain $a=3 sin(22.6)=3\cos(22.6)\tan(22.6)=b\tan (22.6)=12\tan(22.6)$.

We conclude that $\tan(22.6)=\frac{a}{12}$.