Answer:
The exact value of tan A in simplest form is [tex]tan (A) = \dfrac{9}{40}[/tex]
Step-by-step explanation:
The parameters of the given right triangle are;
The length of the hypotenuse side = 41
The length of the vertical leg of the right triangle = 9
The length of the opposite leg of the right triangle = 40
By trigonometric rule, we have;
[tex]tan (A) = \dfrac{Opposite \ leg \ length \ to \ angle \ A}{Adjacent \ leg \ length \ to \ angle \ A }[/tex]
Therefore, we have;
[tex]tan (A) = \dfrac{9}{40} = 0.225[/tex]
