The tangent or tanθ is a trigonometric function. The height of Chad is 6.07 feet.
What is Tangent (Tanθ)?
The value of the tangent function in a right angle triangle is equal to the fraction of the perpendicular side of the triangle for that angle to the base side of the triangle for that angle. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
As it is given that the shadow that is cast by Chad is 14.3 feet, while the straight-line distance from the top of Chad’s head to the end of the shadow creates a 23° angle with the ground. Therefore, this can be assumed as a triangle as shown below.
Now, the height of Chad is the length of the line AB which can be written as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
[tex]\rm tan(\angle ACB) = \dfrac{AB}{BC}\\\\tan(23^o) = \dfrac{AB}{14.3}\\\\AB = 6.07\ feet[/tex]
Hence, the height of Chad is 6.07 feet.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
