Answer:
The height of the seat at point B above the ground is approximately 218.5 feet
Step-by-step explanation:
The given parameters are;
The radius of the Ferris wheel, r = 125 feet
The angle between each seat, θ = 36°
The height of the Ferris wheel above the ground = 20 feet
Therefore, we have;
The height of the midline, D = The height of the Ferris wheel above the ground + The radius of the Ferris wheel
∴ The height of the midline = 20 feet + 125 feet = 145 feet
The height of the seat at point B above the ground, h = r × sin(θ) + D
By substitution, we have;
h = 125 × sin(36°) + 145 ≈ 218.5 (The answer is rounded to the nearest tenth)
The height of the seat at point B above the ground, h ≈ 218.5 feet.
The measures of the angles are 59 degrees
<h3>How to determine the value of the angles?</h3>
The angles are given as:
Angle 1 = 2x + 17
Angle 2 = 3x - 4
By the interior angle theorem, the angles are congruent
So, we have
Angle 1 = Angle 2
Substitute the known values in the above equation
2x + 17= 3x - 4
Collect the like terms
3x - 2x = 17 + 4
Evaluate the like terms
x = 21
Substitute x = 21 in Angle 1 = 2x + 17
Angle 1 = 2 * 21 + 17
Evaluate
Angle 1 = 59
This means that
Angle 1 = Angle 2 = 59
Hence, the measures of the angles are 59 degrees
Read more about angles at:
brainly.com/question/25716982
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I believe 64x-8 is the correct answer.
Answer:
1 whole
Step-by-step explanation:
Answer:
∠ YZX ≈ 19.7°
Step-by-step explanation:
using the sine ratio in the right triangle.
sin YZX = 
= 
= 
, then
∠ YZX = 
( ) ≈ 19.7° ( to 3 significant figures )
