Label a point z that is vertical to point x and horizontal to point y. A string of lights is being hung from point z to the cable that connects the gorilla and chimpanzee habitats. The string of lights will create a right angle with the cable. Determine the distance between point y and the point where the string of lights attaches to the cable. Round all numbers to the nearest hundredth of a yard. Show your work.

10 * 563.67 = 5636.7

180

step-by-step explanation:

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