A model rocket builder moved 50 feet away from the base before launching his model rocket straight up in to the air. The rocket reached its maximum height when the angle of elevation from the observer was 84 degrees Which equation below might help determine the maximum height of the rocket in feet?

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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