Answer:
[tex]A= 35.8[/tex]
Step-by-step explanation:
Given
[tex]sin(53.2) = cos(A)[/tex]
Required
Find A
In trigonometry
[tex]sin(\alpha) = cos(\theta)[/tex]
Then
[tex]\alpha + \theta = 90[/tex]
So, this gives:
[tex]54.2 + A= 90[/tex]
Make A the subject
[tex]A= 90-54.2[/tex]
[tex]A= 35.8[/tex]