Question

HELP!

Answer 1

Answer:

$b=40.01\ units$

Step-by-step explanation:

we know that

Applying the law of sines

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

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

we have

$a=25\ units$

$A=32.5\°$

Find the measure of angle B

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

so

$A+B+C=180\°$

substitute the given values

$32.5\°+B+26.8\°=180\°$

$B=180\°-59.3\°=120.7\°$

Find the length side b

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

substitute the values

$b=\frac{25}{sin(32.5\°)}(sin(120.7\°))$

$b=40.01\ units$