Question

Please help!!

What is the measure of ∠C?

Round your final answer to the nearest tenth, if necessary.

a. 13.2°
b. 16.9°
c. 23°
d. 47°

Answer 1

Your answer would be D. The angle C is 47 degrees.

Answer 2

From the given picture, we see that two sides and one angle is given

Using them we have to find the value of angle C

side AB=c=14 in

side BC=a=18 in

angle A= 110 degree

Now plug these values into sine formula

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

or
`(18)/(\sin(110))=(b)/(\sin(B))=(14)/(\sin(C))`

or
`(18)/(\sin(110)) =(14)/(\sin(C))`

or
`(18)/(0.93969262) =(14)/(\sin(C))`

or
`19.1551999206=(14)/(\sin(C))`

or
`\sin(C)=(14)/(19.1551999206)`

or
`\sin(C)=0.730872037777`

or
`C=\sin^(-1) (0.730872037777}`

C=46.959549954213535880191108778655

Which is approx 47 degree.

Hence final answer is C=47 degree.