Look at the triangle: A right angle triangle is shown with hypotenuse equal to 10 centimeters. An acute angle of the triangle is labeled as x degrees. The side adjacent to the acute angle has length 6 centimeters and the side opposite to the acute angle has length 8 centimeters. What is the value of tan x°?

Answer:

Therefore the value of tan x is

$\tan x=\dfrac{4}{3}$

Step-by-step explanation:

Given:

hypotenuse = 10 cm'

side adjacent to the acute angle 'x' = 6 cm.

side opposite to the acute angle 'x' = 8 cm.

To Find:

tan x = ?

Solution:

In Right Angle Triangle , Tan Identity we have

$\tan x= \dfrac{\textrm{side opposite to angle x}}{\textrm{side adjacent to angle x}}$

Substituting the values we get

$\tan x= \dfrac{8}{6}=\dfrac{4}{3}$

Therefore the value of tan x is

$\tan x=\dfrac{4}{3}$

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