Solve the Problem $y = - \frac { x ^ { 2 } } { 231 } + \frac { \sqrt { 3 } } { 3 } x \quad$

Multiple Choice

Solve the problem.
-A ball is kicked off the side of a hill at an angle of elevation of 30°. The hill slopes downward 30° from the horizontal. Consider a coordinate system in which the origin is the point on the edge of the hill from
Which the ball is kicked. The path of the ball and the line of declination of the hill can be approximated by $y = - \frac { x ^ { 2 } } { 231 } + \frac { \sqrt { 3 } } { 3 } x \quad$ Path of the ball
$y = - \frac { \sqrt { 3 } } { 3 } x \quad$ Line of declination of the hill
Solve the system to determine where the ball will hit the ground.

A) The ball will hit the ground at the point $( 77 \sqrt { 3 } , - 77 )$
B) The ball will hit the ground at the point $( 154 , - 154 \sqrt { 3 } )$
C) The ball will hit the ground at the point $( 77 , - 77 \sqrt { 3 } ) \mathrm { r }$
D) The ball will hit the ground at the point $( 154 \sqrt { 3 } , - 154 )$