Use a tangent function to estimate the grade resistance of a 2200-lb car travelling on a 2.4° grade. Round your answer to the nearest pound.
To estimate the grade resistance of a car using a tangent function, we can use the following formula:
Grade Resistance = Weight of the car * Tan(Grade Angle)
Given:
Weight of the car = 2200 lb
Grade Angle = 2.4°
Now, let's substitute these values into the formula and calculate the grade resistance:
Grade Resistance = 2200 lb * Tan(2.4°)
To find the tangent of the grade angle, we can use a scientific calculator or a trigonometric table. Let's assume the tangent of 2.4° is approximately 0.04244 (rounded to five decimal places).
Grade Resistance ≈ 2200 lb * 0.04244
Calculating this:
Grade Resistance ≈ 93.368 lb
Therefore, the estimated grade resistance of a 2200-lb car traveling on a 2.4° grade is approximately 93 lb (rounded to the nearest pound).