Question

1. Answer Questions 1(a) through 1(c) for full credit. Show all necessary work.

(Part 1a: 2 points)
(a) Use the website listed below to identify a major league ballpark in which the distance from the right center field fence to home plate is greater than 375 ft. What is the name and location of the major league ballpark that you identified? What is the distance from home plate to the right center field fence in the ballpark?
Please DO NOT choose Kauffman Stadium of Kansas City or Anaheim Angels Stadium. Website link: http://www.andrewclem.com/Baseball/Stadium_lists.html#by_city
Answer:
Name and location:
Distance from home plate to the right center field fence:
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Math | Graded Assignment | Honors Project: Trigonometry in Baseball
(Part 1b: 5 points)
(b) Draw and label a figure displaying each of the following details for the major league ballpark that you identified:
∙ A triangle showing the relationship between the distance from home plate to the right center field fence, the distance from the right center field fence to third base, and the distance from third base to home plate. Label the sides of the triangle and the known distances and angle measure.
∙ Label the length of the side that represents the distance from the right center field fence to third base x
Answer:

(Part 1c: 8 points)
(c) What is the distance from the right center field fence to third base? Show all of your work and round your answer to the nearest tenth of a foot.
Answer:

Answer 1

What is the angle of elevation θ that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.

Distance from Home plate to the center field fence: 425 ft

Height of the center field fence: 8 ft

____________________________

ANSWER:

The fence height = 8ft

The fence height takes 2 ft from the ground and doesn't count towards the angle.

Therefore subtract the difference = 8-2 = 6ft

The fence height from the 2ft to the fence top = 6ft

Angle of elevation (θ):

Tan(θ) = opposite/adjacent

Adjacent = Distance from Home plate to the center field fence = 425 ft

Opposite = 6ft

• Tan(θ) = 6/425
• Tan(θ) = 0.0141
• θ = arctan(0.0141)
• arctan = inverse of tangent = tan-¹
• θ = 0.8078°
• Angle of elevation (θ) = 0.81°