The function graphed is of the form y

y = a \tan b x \text { or } y = a \cot b x , \text { where } b > 0 \text {. }

etermine the equation of the graph.
-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

\mathrm { h } = 2.4 \mathrm { ft }

\alpha = 0.8 ^ { \circ } , \theta _ { 1 } = - 4 ^ { \circ } , \theta _ { 2 } = 3 ^ { \circ }

, and

S = 336 \mathrm { ft }

. Round your answer to the nearest foot.
A)

543 \mathrm { ft }

557 \mathrm { ft }

588 \mathrm { ft }

572 \mathrm { ft }

Assume That the Cities Lie on the Same North-South Line 43.15∘N43.15 ^ { \circ } \mathrm { N }43.15∘N

Multiple Choice