Solve the problem. -The grade resistance F of a car traveling up or down a hill is modeled by the equation F = W sin ϴ where W is the weight of the car and ϴ is the angle of the hill's grade (ϴ 0 for uphill travel, ϴ

Question

Solve the problem.
-The grade resistance F of a car traveling up or down a hill is modeled by the equation F = W sin ϴ where W is the weight of the car and ϴ is the angle of the hill's grade (ϴ > 0 for uphill travel, ϴ < 0
For downhill travel). What is the grade resistance (to the nearest pound)of a 3000-lb car traveling
Uphill on a 3° grade (ϴ = 3°)?
A)157 lb
B)-3003 lb
C)-157 lb
D)3003 lb

Quizplus · Accepted Answer

To find the grade resistance, substitute W = 3000 lb and ϴ = 3° into the equation F = W sin ϴ. Using a calculator, sin(3°) ≈ 0.052336, so F ≈ 3000 * 0.052336 ≈ 157 lb.

Solve the Problem. -The Grade Resistance F of a Car Traveling Up or Traveling