Respuesta :

Answer:

16/12

Step-by-step explanation:

SOHCAHTOA

TOA - tan theta = Opposite/ Adjacent

Tan theta = 16/12

= 16/12

if you were told to find theta, then

tan inverse ( 16/12)

theta will be 53.13 degrees

The tangent of the given right angle triangle is [tex]\frac{16}{12}[/tex].

What is a right angle triangle?

A right angle triangle is a triangle in which one of the three angles is a right angle.

What is the tangent of an angle in a right angle triangle?

"In any right angle triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as 'tan'."

Given, Base of the right angle triangle is = 12.

The height of the right angle triangle is = 16.

The hypotenuse of the right angle triangle is = 20.

The angle between the base of the triangle and the hypotenuse is = θ.

Now,  tan θ

[tex]= \frac{Height}{Base}\\= \frac{16}{12}[/tex]

Therefore, tan θ of the given right angle triangle is  [tex]\frac{16}{12}[/tex].

Learn more about the tangent of a right angle triangle here: https://brainly.com/question/3770177

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