When constructing a perpendicular bisector, why must the compass opening be greater than 1/2 the length of the segment? i was thinking that it's being cut in half but i really am not sure.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,