Chapter 9 - Section 9.2 - The Dot Product - 9.2 Exercises - Page 647: 50

$1164lb$

Step 1. Identify the quantities: incline angle $\theta=25^{\circ}$, weight of the car $W=2755lb$ Step 2. The force $F$ required to keep the car from rolling down the driveway should be equal to the component of the weight along the incline. Step 3. Set up the equation based on the above: $F=W\sin\theta=2755\sin65^{\circ}\approx1164lb$