Use a Calculator to Find the Function Value $\mathrm { F }$

question 181

Multiple Choice

Use a calculator to find the function value. Give your answer rounded to seven decimal places, if necessary.
-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) . What is the grade resistance (to the nearest pound) of a 2100-lb car traveling downhill on a $5 ^ { \circ }$ grade $\left( \theta = - 5 ^ { \circ } \right)$ ?

• A) \(183 \mathrm { lb }\)
• B) \(- 183 \mathrm { lb }\)
• C) \(- 2105 \mathrm { lb }\)
• D) \(2105 \mathrm { lb }\)

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