1. Answer Questions 1(a) through 1(c) for full credit. Show all necessary work. Use the website listed below to identify a major league ballpark in which the distance from home plate to the center field fence and the height of the center field fence require that a ball hit 2 ft above the ground will necessitate an angle of elevation less than 0.86 to just clear the center field fence. (Please note: tan 0.86˚ ≈ 0.01501)
Please DO NOT choose Dodger Stadium or Anaheim Angels Stadium.
Website link: http://www. andrewclem. com/Baseball/Stadium_lists. html#by_city
(Part 1a: 3 points)
(a) What is the name and location of the major league ballpark that you identified? What is the distance from home plate to the center field fence and what is the height of the center field fence in the ballpark?

Name and location:
Distance from Home plate to the center field fence:
Height of the center field fence:
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Math | Graded Assignment | Honors Project: Trigonometry in Baseball
(Part 1b: 7 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 plane (line segment) in which the ball lies as it is being hit, the center field fence, and the path of the ball.
∙ A line segment below the triangle representing the playing field extended to the base of the center field wall.
∙ Label all known distances and label the angle of elevation of the ball θ.
∙ Give the tangent ratio of θ in the form of a fraction (don’t need to reduce).


(Part 1c: 5 points)
(c) 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.

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Math | Graded Assignment | Honors Project: Trigonometry in Baseball
2. Answer Questions 2(a) through 2(c) for full credit. Show all necessary work.
Use the website listed below to identify a major league ballpark in which the distance from home plate to the center field fence and the height of the center field fence require that a ball hit 2 ft above the ground will necessitate an angle of elevation greater than 0.86 to just clear the center field fence. (Please note: tan 0.86˚ ≈ 0.01501)
Please DO NOT choose Dodger Stadium or Anaheim Angels Stadium.
Website link: http://www. andrewclem. com/Baseball/Stadium_lists. html#by_city
(Part 2a: 3 points)
(a) What is the name and location of the major league ballpark that you identified? What is the distance from home plate to the center field fence and what is the height of the center field fence in the ballpark?

Name and location:
Distance from home plate to the center field fence:
Height of the center field fence:
© 2016 K12 Inc. All rights reserved. Page 3 of 4 Copying or distributing without K12’s written consent is prohibited.
Math | Graded Assignment | Honors Project: Trigonometry in Baseball
(Part 2b: 7 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 plane (line segment) in which the ball lies as it is being hit, the center field fence, and the path of the ball.
∙ A line segment below the triangle representing the playing field extended to the base of the center field wall.
∙ Label all known distances and label the angle of elevation of the ball θ.
∙ Give the tangent ratio of θ in the form of a fraction (don’t need to reduce).


(Part 2c: 5 points)
(c) 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.