Kim and Yolanda are watching a movie in a movie theater. Yolanda is sitting x feet from the screen and kim is 15 feet behind Yolanda. The angle of elevation from Kim's line of
sight to the top of the screen is 30°. The angle of elevation from Yolanda's line of sight to
the top of the screen is 45°.

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step-by-step

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

x=0

step-by-step explanation: