Question

If B=26° and b=18 then find c (picture provided)

Answer 1

Answer:

c. 41.1

Step-by-step explanation:

To find a, we'll use the Law of Sines that says:

$\frac{b}{sin(B)} = \frac{c}{sin(C)}$

And we'll isolate c to get:

$c = \frac{sin(C) * b}{sin(B)}$

Then we will plug-in the information we already have :

$c = \frac{sin(90) * 18}{sin(26)} = 41.06$

So, let's round it to 41.1 to match the answer number C.

Answer 2

Answer:

The correct answer is option C.   41.1

Step-by-step explanation:

Points to remember:-

Trigonometric ratio

Sin θ = opposite side/Hypotenuse

From the figure we can see a right triangle triangle FGH.

To find the value of c

It is given that, B=26° and b=18

Sin26 = opposite side/Hypotenuse  = b/c

c = 18/Sin26 = 41.1

Therefore the correct answer is option c.   41.1