Question

Find m∠c to the nearest tenth. Thank you!

Answer 1

Using a/sinA=c/sinC
a=24 c=38
A=39
24/sin39=38/sinC
SinC=38sin39/24
I don’t have a calculator now but that’s the answer

Answer 2

Answer:

85.20

Step-by-step explanation:

We have to find the measure of ∠c.

By applying sine rule in the triangle.

$\frac{SinA}{BC}=\frac{Sinc}{AB}$

Sin A × AB = Sin c × BC ( By multiplication )

( Sin 39° ) × 38 = 24 sinc

sin c = $\frac{38*0.62932}{24}$ = 0.99642

c = $sin^{-1}$ = ( 0.99642 )

= 85.15 ≈ 85.20