Answer:
The answer to your question is AB = 16.25
Step-by-step explanation:
Data
AC = 10.01 = adjacent side
AB = ? = hypotenuse
m∠A = 52°
Process
1.- Use trigonometric functions to find AB
As we have ∠A, we use cosine to find the hypotenuse
[tex]cos \alpha = \frac{adjacent side}{hypotenuse}[/tex]
hypotenuse = adjacent side / cos α
2.- Substitution
hypotenuse = 10.01 / cos (52)
hypotenuse = 10.01 / 0.616
3.- Simplification and result
hypotenuse = AB = 16.25
