Question

Find the missing side or angle.

Round to the nearest tenth.
A=72°
C= 50°
a=40
c=[ ? ]

Answer 1

Rounded to the nearest tenth: c = 32.2

Explanation:

We can use the Law of Sines to solve the problem.

Recall this useful Law for triangles:

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

so we can use it for the data and unknown of our case (
`A=72^o`,
`C=50^o`,
`a=40`, and c what we need to find:

`(a)/(sin(A)) =(c)/(sin(C))\\(40)/(sin(72^o)) =(c)/(sin(50^o))\\c=(40\,*\,sin(50^o))/(sin(72^o))\\c=32.21867`

and this rounded to the nearest tenth is: c = 32.2