Solve the Problem $$\sqrt { r ( 29000 + 41000 \tan \theta ) }$$

question 28

Multiple Choice

Solve the problem.
-A racetracks curve is banked so that the outside of the curve is slightly elevated or inclined above the inside of the curve. This inclination is called the elevation of the track. The maximum speed on the track in miles per hour is given by
$$\sqrt { r ( 29000 + 41000 \tan \theta ) }$$
where $r$ is the radius of the track in miles and $\theta$ is the elevation in degrees. Find the maximum speed for a racetracks with an elevation of $27 ^ { \circ }$ and a radius of $0.5$ miles. Round to the nearest mile per hour.

• A) 35,278 miles per hour
• B) \(- 74,403\) miles per hour
• C) 158 miles per hour
• D) 188 miles per hour

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