Answer:
[tex]A = 54[/tex]
Step-by-step explanation:
Given
[tex]\sin A = \cos B[/tex]
[tex]A=1.5B[/tex]
Required
Find A
If [tex]\sin A = \cos B[/tex]
Then:
[tex]A +B = 90[/tex]
Substitute [tex]A=1.5B[/tex] in [tex]A +B = 90[/tex]
[tex]1.5B + B = 90[/tex]
[tex]2.5B = 90[/tex]
Solve for B
[tex]B = \frac{90}{2.5}[/tex]
[tex]B = 36[/tex]
Substitute [tex]B = 36[/tex] in [tex]A=1.5B[/tex]
[tex]A = 1.5 * 36[/tex]
[tex]A = 54[/tex]
