Solve the Problem $L$ Of a Highway Sag Curve Can Be Computed By

question 246

Multiple Choice

Solve the problem.
-The minimum length $L$ of a highway sag curve can be computed by
$$\mathrm { L } = \frac { \left( \theta _ { 2 } - \theta _ { 1 } \right) \mathrm { S } ^ { 2 } } { 200 ( \mathrm {~h} + \mathrm { S } \tan \alpha ) ^ { \prime } }$$
where $\theta _ { 1 }$ is the downhill grade in degrees $\left( \theta _ { 1 } < 0 ^ { \circ } \right) , \theta _ { 2 }$ is the uphill grade in degrees $\left( \theta _ { 2 } > 0 ^ { \circ } \right) , \mathrm { S }$ is the safe stopping distance for a given speed limit, $h$ is the height of the headlights, and $\alpha$ is the alignment of the headlights in degrees. Compute $L$ for a 55 -mph speed limit, where $h = 1.6 \mathrm { ft }$ , $\alpha = 0.8 ^ { \circ } , \theta _ { 1 } = - 5 ^ { \circ } , \theta _ { 2 } = 1 ^ { \circ }$ , and $S = 336 \mathrm { ft }$ . Round your answer to the nearest foot.

• A) \(525 \mathrm { ft }\)
• B) \(553 \mathrm { ft }\)
• C) \(568 \mathrm { ft }\)
• D) \(538 \mathrm { ft }\)

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Expenses that vary directly with the level of production or sales volume, such as materials and labor.

Fixed Costs

Costs that do not change with the level of production or sales, such as rent, salaries, and insurance.