Answer:
0.81°
Question:
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
Explanation:
Find attached the diagram used for solving the problem.
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°