Question

In triangle ABC mzA -45, mzB = 40", and a = 7. Which equation should you solve to find b?

Answer 1

Answer:

Option A. $\frac{sin(45\°)}{7}=\frac{sin(40\°)}{b}$

Step-by-step explanation:

we know that

Applying the law of sines in the triangle ABC

$\frac{sin(A)}{a}=\frac{sin(B)}{b}$

substitute the given values

$\frac{sin(45\°)}{7}=\frac{sin(40\°)}{b}$

$b=\frac{7}{sin(45\°)}sin(40\°)\\\\b=6.4\ units$