Respuesta :
The equation that help determine the maximum height of the rocket in feet is tan(84°) = [tex]\frac{h}{50}[/tex]
What is trigonometric ratio?
Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below,
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
According to the question
Rocket builder moved 50 feet away from the base before launching his model rocket straight up in to the air.
i.e Base of right angle triangle = 50
The rocket reached its maximum height when the angle of elevation from the observer was 84 degrees
i,.e angle of elevation from the observer was = 84°
angle between hypotenuse and base = 84°
Now,
Height of the rocket from the ground = Perpendicular = h
So,
By trigonometric ratios
tan θ = [tex]\frac{Perpendicular}{Base}[/tex]
tan(84°) = [tex]\frac{h}{50}[/tex]
Hence, the equation that help determine the maximum height of the rocket in feet is tan(84°) = [tex]\frac{h}{50}[/tex]
To know more about trigonometric ratios here:
https://brainly.com/question/1201366
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