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Sagot :

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]

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