Mei is the manager of a hotel. she is placing rectangular rugs on the wood floors throughout the rectangular hotel lobby. the lobby is 38 feet long and 24 feet wide. each rug is 4 feet long and 2 feet wide. she places 7 rugs throughout the lobby. the rugs do not overlap. how much of the lobby's floor is left uncovered by the rugs?

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.