Question

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

Answer 1

Option A.
`(sin(45\°))/(7)=(sin(40\°))/(b)`

Explanation:

we know that

Applying the law of sines in the triangle ABC

`(sin(A))/(a)=(sin(B))/(b)`

substitute the given values

`(sin(45\°))/(7)=(sin(40\°))/(b)`

`b=(7)/(sin(45\°))sin(40\°)\\\\b=6.4\ units`