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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Definitions:

Mendel's Principle

The foundational principles of genetics discovered by Gregor Mendel, including the laws of segregation and independent assortment.

Heterozygous

A genetic condition where an individual has two different alleles for a specific gene, one inherited from each parent.

Hemophilia

A genetic disorder characterized by the inability of blood to clot properly, leading to excessive bleeding from even minor injuries.

Barr Body

A condensed and inactivated X chromosome appearing as a distinctive dense spot in the interphase nucleus of certain cells of female mammals.