We set the entrance to be the origin of a coordinate system. One leg of the new hiking loop is a parabola that starts at the entrance and has its most northern point at 1km East and 4km North from the entrance. The other leg of the loop is also shaped like a parabola section. It starts 0.5 km south of the entrance and has its southern most point 1km east and 1km south from the entrance. The path ends where the legs meet (West of the entrance). Where will that be?

x = ≅ 0.054 km

Step-by-step explanation:

The detailed explanation is in the attach document.

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.

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.