Question

If sin X = 0.3240 and b = 40, what is the value of c

Answer 1

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 = $sin^{-1}$ 0.3240

X = ...

Through SOHCAHTOA, we know that we should use either sin X = $\frac{opp}{hyp}$  or that cos X = $\frac{adj}{hyp}$.

I'm going to assume that we use sin X = $\frac{opp}{hyp}$ since we are given a length b and not a length a. So:

sin 18.9050 = $\frac{40}{c}$

c =  $\frac{40}{sin 18.9050}$ = 123.46

If we use cos X = $\frac{adj}{hyp}$, then:

cos 18.9050 = $\frac{40}{c}$

c =  $\frac{40}{cos 18.9050}$ = 42.28

Not sure which one is correct since we are not given a picture of the sides.