Solve the Problem $\mathrm { F }$ Of a Car Traveling Up or Down a Hill Is

Multiple Choice

Solve the problem.
-The grade resistance $\mathrm { F }$ of a car traveling up or down a hill is modeled by the equation $\mathrm { F } = \mathrm { W } \sin \theta$ , where $W$ is the weight of the car and $\theta$ is the angle of the hill's grade $( \theta > 0$ for uphill travel, $\theta < 0$ for downhill travel) . Find the weight of the car (to the nearest pound) that is traveling on $\mathrm { a } - 2.2 ^ { \circ }$ downhill grade and which has a grade resistance of $- 153.55 \mathrm { lb }$ .

A) $4300 \mathrm { lb }$
B) $4100 \mathrm { lb }$
C) $3800 \mathrm { lb }$
D) $4000 \mathrm { lb }$