Question

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

Answer 1

c. 41.1

Explanation:

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

`(b)/(sin(B)) = (c)/(sin(C))`

And we'll isolate c to get:

`c = (sin(C) * b)/(sin(B))`

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

`c = (sin(90) * 18)/(sin(26)) = 41.06`

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

Answer 2

The correct answer is option C. 41.1

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