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Sidana [21]
3 years ago
7

41. A person on a Ferris wheel sits a distance of 45 feet from the Ferris wheel's center. If they

Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0

Answer:

(1) 39 feet

Step-by-step explanation:

Feris wheel moves in a circular pattern. But if you take imaginary horizontal and vertical lines from your location to the Ferris wheel's center, you can wee see this make a triangle. This question is about trigonometry. Horizontal distance is the adjacent side and vertical distance is the opposite side. Your straight line distance to the center is the hypotenuse(45 feet). Then we can solve the question using the sin formula.

sin x = opposite/hypotenuse

sin 120 = vertical distance/ 45 feet

vertical distance = 0.8660 * 45 feet

vertical distance =38.97 feet = 39 feet

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Answer:

\displaystyle x \approx 37.4^\circ

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
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  1. Substitute in variables [Cosine]:                                                                    \displaystyle cosx^\circ = \frac{5.8}{7.3}
  2. [Fraction] Divide:                                                                                             \displaystyle cosx^\circ = 0.794521
  3. [Equality Property] Trig inverse:                                                                    \displaystyle x^\circ = cos^{-1}(0.794521)
  4. Evaluate trig inverse:                                                                                      \displaystyle x = 37.39^\circ
  5. Round:                                                                                                             \displaystyle x \approx 37.4^\circ
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