Question

Pls help it’s 9th grade math

Answer 1

A) 23.7°

Explanation:

You can use the law of sines to solve this, sinA/a= sinC/c

sin42/5= sinC/3

Answer 2

option A

Explanation:

To find the ∠C, we can use the Law of Sine.

`\sf \boxed{(a)/(Sin \ A)=(b)/(Sin \ B)=(c)/( Sin \ C)}`

Side 'a' faces ∠A, side 'b' faces ∠B and side 'c' faces ∠C

a = 5 cm ; b = 7 cm ; c = 3 cm

∠A = 42°

`\sf (a)/(Sin \ A) = (c)/(Sin \ C)\\\\\\(5)/(Sin \ 42)=(3)/(Sin \ C)\\\\\\Cross \ multiply,\\\\ 5*Sin C = 3*Sin \ 42\\\\~~~~ Sin \ C = (3*Sin \ 42)/(5)\\\\`

`\sf = (3*0.6691)/(5)`

= 0.4014

C = arcsin (0.4014)

C = 23.67

∠C = 23.7°