Answer :
Answer:
123.46 or 42.28
Step-by-step explanation:
Assuming that b is the leg side of a triangle and that c is the hypotenuse, we can solve for c using SOHCAHTOA.
We can find the angle from the equation sin X = 0.3240.
X = [tex]sin^{-1}[/tex] 0.3240
X = ...
Through SOHCAHTOA, we know that we should use either sin X = [tex]\frac{opp}{hyp}[/tex] or that cos X = [tex]\frac{adj}{hyp}[/tex].
I'm going to assume that we use sin X = [tex]\frac{opp}{hyp}[/tex] since we are given a length b and not a length a. So:
sin 18.9050 = [tex]\frac{40}{c}[/tex]
c = [tex]\frac{40}{sin 18.9050}[/tex] = 123.46
If we use cos X = [tex]\frac{adj}{hyp}[/tex], then:
cos 18.9050 = [tex]\frac{40}{c}[/tex]
c = [tex]\frac{40}{cos 18.9050}[/tex] = 42.28
Not sure which one is correct since we are not given a picture of the sides.