Trig Functions Of Acute Angles Worksheet Page 8
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16Ex3: Finding Grade Resistance
When a car travels uphill or downhill, it experiences a force due to gravity. This force
F
in pounds
is the
grade resistance
and is modeled by the equation
F = the force or grade resistance
θ = the grade or the angle formed the hill and a horiz line
W = the weight of the car
1)
Calculate F to the nearest 10 lb for a 2500-lb car traveling an uphill grade with θ = 2.5˚.
2)
Calculate F to the nearest 10 lb for a 5000-lb truck traveling a downhill grade with θ = -6.1˚.
3)
Calculate F for θ = 0˚ and θ = 90˚ (what would you guess about these answers?)
Classroom Ex3:
1)
Calculate F to the nearest 10 lb for a 5500-lb truck traveling a uphill grade with θ = 3.9˚.
2)
Calculate F to the nearest 10 lb for a 2800-lb truck traveling a downhill grade with θ = -4.8˚.
3)
A 2400-lb car traveling uphill has a grade resistance of 288 lb. What is the angle of the grade?
Chapter 2 Page 8
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