Answer:
x equals -7 and x equals 5 our function is discontinuous
Step-by-step explanation:
x^2+7x-5x-35=0
x(x+7)-5(x+7)=0
(x+7)(x-5)=0
(x+7)=0\text{ or }(x-5)=0
x=-7\text{ or }x=5
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
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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°
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