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

85.20

Explanation:

We have to find the measure of ∠c.

By applying sine rule in the triangle.

`(SinA)/(BC)=(Sinc)/(AB)`

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

( Sin 39° ) × 38 = 24 sinc

sin c =
`(38*0.62932)/(24)` = 0.99642

c =
`sin^(-1)` = ( 0.99642 )

= 85.15 ≈ 85.20