Question

Which answer choice correctly solves for a and b?

Answer 1

Answer:

C

Step-by-step explanation:

Using the sine ratio and the exact value sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$  = $\frac{6}{a}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

a = 6$\sqrt{2}$

Using the tangent ratio and the exact value tan45° = 1 , then

tan45° = $\frac{opposite}{adjacent}$ = $\frac{6}{b}$ = 1 , so

b = 6