The height h in feet of the beam as a function of the angle of inclination from Tyler's position to the steel beam is h = 250 tanθ feet
What is angle of inclination?
"The angle inclination of a line is the angle formed by the intersection of the line and the x-axis."
What are trigonometric functions?
"The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."
We have
Adjacent side = 250 feet
From the figure,
We can write trigonometric function
Tanθ = [tex]\frac{AB}{BC}[/tex]
Tanθ = [tex]\frac{h}{250}[/tex]
⇒ h = 250 tanθ feet
Hence, The height h in feet of the beam as a function of the angle of inclination from Tyler's position to the steel beam is h = 250 tanθ
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